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Finding the Fourth Proportional to 99.12, 147.71 and 95.86

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Solution

The fourth proportional to 99.12, 147.71 and 95.86 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 147.71 = 95.86 : x
  2. Step 2: Convert to fraction form
    99.12/147.71 = 95.86/x
  3. Step 3: Cross multiply
    99.12x = 147.71 × 95.86
  4. Step 4: Simplify right side
    99.12x = 14,159.90
  5. Step 5: Solve for x
    x = 14,159.90/99.12
  6. Step 6: Final answer
    x = 142.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.