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Finding the Fourth Proportional to 130.12, 179.54 and 74.86

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Solution

The fourth proportional to 130.12, 179.54 and 74.86 is: 103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 179.54 = 74.86 : x
  2. Step 2: Convert to fraction form
    130.12/179.54 = 74.86/x
  3. Step 3: Cross multiply
    130.12x = 179.54 × 74.86
  4. Step 4: Simplify right side
    130.12x = 13,440.55
  5. Step 5: Solve for x
    x = 13,440.55/130.12
  6. Step 6: Final answer
    x = 103.29

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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.