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Finding the Fourth Proportional to 177.17, 265.64 and 60.02

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Solution

The fourth proportional to 177.17, 265.64 and 60.02 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.17 : 265.64 = 60.02 : x
  2. Step 2: Convert to fraction form
    177.17/265.64 = 60.02/x
  3. Step 3: Cross multiply
    177.17x = 265.64 × 60.02
  4. Step 4: Simplify right side
    177.17x = 15,942.38
  5. Step 5: Solve for x
    x = 15,942.38/177.17
  6. Step 6: Final answer
    x = 89.99

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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.