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Finding the Fourth Proportional to 99.10, 147.98 and 86.82

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Solution

The fourth proportional to 99.10, 147.98 and 86.82 is: 129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.10 : 147.98 = 86.82 : x
  2. Step 2: Convert to fraction form
    99.10/147.98 = 86.82/x
  3. Step 3: Cross multiply
    99.10x = 147.98 × 86.82
  4. Step 4: Simplify right side
    99.10x = 12,847.62
  5. Step 5: Solve for x
    x = 12,847.62/99.10
  6. Step 6: Final answer
    x = 129.64

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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.