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Finding the Fourth Proportional to 75.32, 113.42 and 55.17

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Solution

The fourth proportional to 75.32, 113.42 and 55.17 is: 83.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 113.42 = 55.17 : x
  2. Step 2: Convert to fraction form
    75.32/113.42 = 55.17/x
  3. Step 3: Cross multiply
    75.32x = 113.42 × 55.17
  4. Step 4: Simplify right side
    75.32x = 6,257.24
  5. Step 5: Solve for x
    x = 6,257.24/75.32
  6. Step 6: Final answer
    x = 83.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.