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Finding the Fourth Proportional to 99.96, 138.18 and 71.10

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Solution

The fourth proportional to 99.96, 138.18 and 71.10 is: 98.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 138.18 = 71.10 : x
  2. Step 2: Convert to fraction form
    99.96/138.18 = 71.10/x
  3. Step 3: Cross multiply
    99.96x = 138.18 × 71.10
  4. Step 4: Simplify right side
    99.96x = 9,824.60
  5. Step 5: Solve for x
    x = 9,824.60/99.96
  6. Step 6: Final answer
    x = 98.29

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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.