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Finding the Fourth Proportional to 147.70, 221.48 and 86.85

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Solution

The fourth proportional to 147.70, 221.48 and 86.85 is: 130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 221.48 = 86.85 : x
  2. Step 2: Convert to fraction form
    147.70/221.48 = 86.85/x
  3. Step 3: Cross multiply
    147.70x = 221.48 × 86.85
  4. Step 4: Simplify right side
    147.70x = 19,235.54
  5. Step 5: Solve for x
    x = 19,235.54/147.70
  6. Step 6: Final answer
    x = 130.23

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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.