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Finding the Fourth Proportional to 147.34, 221.01 and 51.16

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Solution

The fourth proportional to 147.34, 221.01 and 51.16 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.34 : 221.01 = 51.16 : x
  2. Step 2: Convert to fraction form
    147.34/221.01 = 51.16/x
  3. Step 3: Cross multiply
    147.34x = 221.01 × 51.16
  4. Step 4: Simplify right side
    147.34x = 11,306.87
  5. Step 5: Solve for x
    x = 11,306.87/147.34
  6. Step 6: Final answer
    x = 76.74

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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.