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Finding the Fourth Proportional to 71.64, 106.96 and 55.20

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Solution

The fourth proportional to 71.64, 106.96 and 55.20 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 106.96 = 55.20 : x
  2. Step 2: Convert to fraction form
    71.64/106.96 = 55.20/x
  3. Step 3: Cross multiply
    71.64x = 106.96 × 55.20
  4. Step 4: Simplify right side
    71.64x = 5,904.19
  5. Step 5: Solve for x
    x = 5,904.19/71.64
  6. Step 6: Final answer
    x = 82.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.