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Finding the Fourth Proportional to 176.53, 264.62 and 66.76

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Solution

The fourth proportional to 176.53, 264.62 and 66.76 is: 100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 264.62 = 66.76 : x
  2. Step 2: Convert to fraction form
    176.53/264.62 = 66.76/x
  3. Step 3: Cross multiply
    176.53x = 264.62 × 66.76
  4. Step 4: Simplify right side
    176.53x = 17,665.16
  5. Step 5: Solve for x
    x = 17,665.16/176.53
  6. Step 6: Final answer
    x = 100.07

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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.