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Finding the Fourth Proportional to 177.72, 245.24 and 100.10

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Solution

The fourth proportional to 177.72, 245.24 and 100.10 is: 138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 245.24 = 100.10 : x
  2. Step 2: Convert to fraction form
    177.72/245.24 = 100.10/x
  3. Step 3: Cross multiply
    177.72x = 245.24 × 100.10
  4. Step 4: Simplify right side
    177.72x = 24,548.52
  5. Step 5: Solve for x
    x = 24,548.52/177.72
  6. Step 6: Final answer
    x = 138.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.