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Finding the Fourth Proportional to 147.40, 221.08 and 51.18

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Solution

The fourth proportional to 147.40, 221.08 and 51.18 is: 76.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.40 : 221.08 = 51.18 : x
  2. Step 2: Convert to fraction form
    147.40/221.08 = 51.18/x
  3. Step 3: Cross multiply
    147.40x = 221.08 × 51.18
  4. Step 4: Simplify right side
    147.40x = 11,314.87
  5. Step 5: Solve for x
    x = 11,314.87/147.40
  6. Step 6: Final answer
    x = 76.76

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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.