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Finding the Fourth Proportional to 147.27, 220.77 and 101.49

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Solution

The fourth proportional to 147.27, 220.77 and 101.49 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 220.77 = 101.49 : x
  2. Step 2: Convert to fraction form
    147.27/220.77 = 101.49/x
  3. Step 3: Cross multiply
    147.27x = 220.77 × 101.49
  4. Step 4: Simplify right side
    147.27x = 22,405.95
  5. Step 5: Solve for x
    x = 22,405.95/147.27
  6. Step 6: Final answer
    x = 152.14

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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.