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Finding the Fourth Proportional to 176.14, 264.07 and 60.55

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Solution

The fourth proportional to 176.14, 264.07 and 60.55 is: 90.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 264.07 = 60.55 : x
  2. Step 2: Convert to fraction form
    176.14/264.07 = 60.55/x
  3. Step 3: Cross multiply
    176.14x = 264.07 × 60.55
  4. Step 4: Simplify right side
    176.14x = 15,989.44
  5. Step 5: Solve for x
    x = 15,989.44/176.14
  6. Step 6: Final answer
    x = 90.78

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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.