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Finding the Fourth Proportional to 177.55, 245.04 and 106.63

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Solution

The fourth proportional to 177.55, 245.04 and 106.63 is: 147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.55 : 245.04 = 106.63 : x
  2. Step 2: Convert to fraction form
    177.55/245.04 = 106.63/x
  3. Step 3: Cross multiply
    177.55x = 245.04 × 106.63
  4. Step 4: Simplify right side
    177.55x = 26,128.86
  5. Step 5: Solve for x
    x = 26,128.86/177.55
  6. Step 6: Final answer
    x = 147.17

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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.