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Finding the Fourth Proportional to 99.57, 149.20 and 58.94

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Solution

The fourth proportional to 99.57, 149.20 and 58.94 is: 88.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.57 : 149.20 = 58.94 : x
  2. Step 2: Convert to fraction form
    99.57/149.20 = 58.94/x
  3. Step 3: Cross multiply
    99.57x = 149.20 × 58.94
  4. Step 4: Simplify right side
    99.57x = 8,793.85
  5. Step 5: Solve for x
    x = 8,793.85/99.57
  6. Step 6: Final answer
    x = 88.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.