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Finding the Fourth Proportional to 147.42, 221.10 and 51.24

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Solution

The fourth proportional to 147.42, 221.10 and 51.24 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 221.10 = 51.24 : x
  2. Step 2: Convert to fraction form
    147.42/221.10 = 51.24/x
  3. Step 3: Cross multiply
    147.42x = 221.10 × 51.24
  4. Step 4: Simplify right side
    147.42x = 11,329.16
  5. Step 5: Solve for x
    x = 11,329.16/147.42
  6. Step 6: Final answer
    x = 76.85

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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.