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Finding the Fourth Proportional to 130.78, 180.46 and 71.76

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Solution

The fourth proportional to 130.78, 180.46 and 71.76 is: 99.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 180.46 = 71.76 : x
  2. Step 2: Convert to fraction form
    130.78/180.46 = 71.76/x
  3. Step 3: Cross multiply
    130.78x = 180.46 × 71.76
  4. Step 4: Simplify right side
    130.78x = 12,949.81
  5. Step 5: Solve for x
    x = 12,949.81/130.78
  6. Step 6: Final answer
    x = 99.02

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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.