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Finding the Fourth Proportional to 177.45, 244.86 and 106.55

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Solution

The fourth proportional to 177.45, 244.86 and 106.55 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 244.86 = 106.55 : x
  2. Step 2: Convert to fraction form
    177.45/244.86 = 106.55/x
  3. Step 3: Cross multiply
    177.45x = 244.86 × 106.55
  4. Step 4: Simplify right side
    177.45x = 26,089.13
  5. Step 5: Solve for x
    x = 26,089.13/177.45
  6. Step 6: Final answer
    x = 147.03

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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.