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Finding the Fourth Proportional to 130.07, 179.50 and 71.86

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Solution

The fourth proportional to 130.07, 179.50 and 71.86 is: 99.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.07 : 179.50 = 71.86 : x
  2. Step 2: Convert to fraction form
    130.07/179.50 = 71.86/x
  3. Step 3: Cross multiply
    130.07x = 179.50 × 71.86
  4. Step 4: Simplify right side
    130.07x = 12,897.97
  5. Step 5: Solve for x
    x = 12,897.97/130.07
  6. Step 6: Final answer
    x = 99.17

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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.