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Finding the Fourth Proportional to 99.85, 149.64 and 42.02

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Solution

The fourth proportional to 99.85, 149.64 and 42.02 is: 62.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.85 : 149.64 = 42.02 : x
  2. Step 2: Convert to fraction form
    99.85/149.64 = 42.02/x
  3. Step 3: Cross multiply
    99.85x = 149.64 × 42.02
  4. Step 4: Simplify right side
    99.85x = 6,287.87
  5. Step 5: Solve for x
    x = 6,287.87/99.85
  6. Step 6: Final answer
    x = 62.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.