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Finding the Fourth Proportional to 65.53, 90.42 and 55.73

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Solution

The fourth proportional to 65.53, 90.42 and 55.73 is: 76.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 90.42 = 55.73 : x
  2. Step 2: Convert to fraction form
    65.53/90.42 = 55.73/x
  3. Step 3: Cross multiply
    65.53x = 90.42 × 55.73
  4. Step 4: Simplify right side
    65.53x = 5,039.12
  5. Step 5: Solve for x
    x = 5,039.12/65.53
  6. Step 6: Final answer
    x = 76.90

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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.