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Finding the Fourth Proportional to 177.76, 245.29 and 100.13

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Solution

The fourth proportional to 177.76, 245.29 and 100.13 is: 138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.76 : 245.29 = 100.13 : x
  2. Step 2: Convert to fraction form
    177.76/245.29 = 100.13/x
  3. Step 3: Cross multiply
    177.76x = 245.29 × 100.13
  4. Step 4: Simplify right side
    177.76x = 24,559.91
  5. Step 5: Solve for x
    x = 24,559.91/177.76
  6. Step 6: Final answer
    x = 138.17

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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.