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Finding the Fourth Proportional to 147.32, 221.02 and 78.83

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Solution

The fourth proportional to 147.32, 221.02 and 78.83 is: 118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 221.02 = 78.83 : x
  2. Step 2: Convert to fraction form
    147.32/221.02 = 78.83/x
  3. Step 3: Cross multiply
    147.32x = 221.02 × 78.83
  4. Step 4: Simplify right side
    147.32x = 17,423.01
  5. Step 5: Solve for x
    x = 17,423.01/147.32
  6. Step 6: Final answer
    x = 118.27

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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.