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Finding the Fourth Proportional to 176.52, 264.80 and 85.14

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Solution

The fourth proportional to 176.52, 264.80 and 85.14 is: 127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.52 : 264.80 = 85.14 : x
  2. Step 2: Convert to fraction form
    176.52/264.80 = 85.14/x
  3. Step 3: Cross multiply
    176.52x = 264.80 × 85.14
  4. Step 4: Simplify right side
    176.52x = 22,545.28
  5. Step 5: Solve for x
    x = 22,545.28/176.52
  6. Step 6: Final answer
    x = 127.72

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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.