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Finding the Fourth Proportional to 130.52, 180.05 and 89.07

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Solution

The fourth proportional to 130.52, 180.05 and 89.07 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 180.05 = 89.07 : x
  2. Step 2: Convert to fraction form
    130.52/180.05 = 89.07/x
  3. Step 3: Cross multiply
    130.52x = 180.05 × 89.07
  4. Step 4: Simplify right side
    130.52x = 16,036.61
  5. Step 5: Solve for x
    x = 16,036.61/130.52
  6. Step 6: Final answer
    x = 122.87

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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.