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Finding the Fourth Proportional to 99.08, 147.97 and 83.87

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Solution

The fourth proportional to 99.08, 147.97 and 83.87 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.08 : 147.97 = 83.87 : x
  2. Step 2: Convert to fraction form
    99.08/147.97 = 83.87/x
  3. Step 3: Cross multiply
    99.08x = 147.97 × 83.87
  4. Step 4: Simplify right side
    99.08x = 12,409.82
  5. Step 5: Solve for x
    x = 12,409.82/99.08
  6. Step 6: Final answer
    x = 125.25

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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.