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Finding the Fourth Proportional to 99.05, 136.64 and 61.70

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Solution

The fourth proportional to 99.05, 136.64 and 61.70 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.05 : 136.64 = 61.70 : x
  2. Step 2: Convert to fraction form
    99.05/136.64 = 61.70/x
  3. Step 3: Cross multiply
    99.05x = 136.64 × 61.70
  4. Step 4: Simplify right side
    99.05x = 8,430.16
  5. Step 5: Solve for x
    x = 8,430.16/99.05
  6. Step 6: Final answer
    x = 85.11

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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.