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Finding the Fourth Proportional to 177.70, 245.20 and 100.06

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Solution

The fourth proportional to 177.70, 245.20 and 100.06 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.70 : 245.20 = 100.06 : x
  2. Step 2: Convert to fraction form
    177.70/245.20 = 100.06/x
  3. Step 3: Cross multiply
    177.70x = 245.20 × 100.06
  4. Step 4: Simplify right side
    177.70x = 24,534.71
  5. Step 5: Solve for x
    x = 24,534.71/177.70
  6. Step 6: Final answer
    x = 138.07

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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.