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Finding the Fourth Proportional to 147.54, 220.59 and 113.13

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Solution

The fourth proportional to 147.54, 220.59 and 113.13 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.54 : 220.59 = 113.13 : x
  2. Step 2: Convert to fraction form
    147.54/220.59 = 113.13/x
  3. Step 3: Cross multiply
    147.54x = 220.59 × 113.13
  4. Step 4: Simplify right side
    147.54x = 24,955.35
  5. Step 5: Solve for x
    x = 24,955.35/147.54
  6. Step 6: Final answer
    x = 169.14

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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.