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Finding the Fourth Proportional to 99.10, 136.71 and 64.13

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Solution

The fourth proportional to 99.10, 136.71 and 64.13 is: 88.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.10 : 136.71 = 64.13 : x
  2. Step 2: Convert to fraction form
    99.10/136.71 = 64.13/x
  3. Step 3: Cross multiply
    99.10x = 136.71 × 64.13
  4. Step 4: Simplify right side
    99.10x = 8,766.88
  5. Step 5: Solve for x
    x = 8,766.88/99.10
  6. Step 6: Final answer
    x = 88.47

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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.