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Finding the Fourth Proportional to 127.19, 175.53 and 78.08

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Solution

The fourth proportional to 127.19, 175.53 and 78.08 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.19 : 175.53 = 78.08 : x
  2. Step 2: Convert to fraction form
    127.19/175.53 = 78.08/x
  3. Step 3: Cross multiply
    127.19x = 175.53 × 78.08
  4. Step 4: Simplify right side
    127.19x = 13,705.38
  5. Step 5: Solve for x
    x = 13,705.38/127.19
  6. Step 6: Final answer
    x = 107.76

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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.