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Finding the Fourth Proportional to 147.17, 203.68 and 126.52

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Solution

The fourth proportional to 147.17, 203.68 and 126.52 is: 175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.17 : 203.68 = 126.52 : x
  2. Step 2: Convert to fraction form
    147.17/203.68 = 126.52/x
  3. Step 3: Cross multiply
    147.17x = 203.68 × 126.52
  4. Step 4: Simplify right side
    147.17x = 25,769.24
  5. Step 5: Solve for x
    x = 25,769.24/147.17
  6. Step 6: Final answer
    x = 175.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.