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Finding the Fourth Proportional to 127.65, 175.96 and 105.24

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Solution

The fourth proportional to 127.65, 175.96 and 105.24 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 175.96 = 105.24 : x
  2. Step 2: Convert to fraction form
    127.65/175.96 = 105.24/x
  3. Step 3: Cross multiply
    127.65x = 175.96 × 105.24
  4. Step 4: Simplify right side
    127.65x = 18,518.43
  5. Step 5: Solve for x
    x = 18,518.43/127.65
  6. Step 6: Final answer
    x = 145.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.