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Finding the Fourth Proportional to 99.72, 137.48 and 83.32

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Solution

The fourth proportional to 99.72, 137.48 and 83.32 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 137.48 = 83.32 : x
  2. Step 2: Convert to fraction form
    99.72/137.48 = 83.32/x
  3. Step 3: Cross multiply
    99.72x = 137.48 × 83.32
  4. Step 4: Simplify right side
    99.72x = 11,454.83
  5. Step 5: Solve for x
    x = 11,454.83/99.72
  6. Step 6: Final answer
    x = 114.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.