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Finding the Fourth Proportional to 177.93, 267.13 and 101.03

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Solution

The fourth proportional to 177.93, 267.13 and 101.03 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 267.13 = 101.03 : x
  2. Step 2: Convert to fraction form
    177.93/267.13 = 101.03/x
  3. Step 3: Cross multiply
    177.93x = 267.13 × 101.03
  4. Step 4: Simplify right side
    177.93x = 26,988.14
  5. Step 5: Solve for x
    x = 26,988.14/177.93
  6. Step 6: Final answer
    x = 151.68

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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.