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Finding the Fourth Proportional to 127.96, 175.68 and 117.02

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Solution

The fourth proportional to 127.96, 175.68 and 117.02 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.96 : 175.68 = 117.02 : x
  2. Step 2: Convert to fraction form
    127.96/175.68 = 117.02/x
  3. Step 3: Cross multiply
    127.96x = 175.68 × 117.02
  4. Step 4: Simplify right side
    127.96x = 20,558.07
  5. Step 5: Solve for x
    x = 20,558.07/127.96
  6. Step 6: Final answer
    x = 160.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.