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Finding the Fourth Proportional to 130.48, 180.24 and 102.88

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Solution

The fourth proportional to 130.48, 180.24 and 102.88 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 180.24 = 102.88 : x
  2. Step 2: Convert to fraction form
    130.48/180.24 = 102.88/x
  3. Step 3: Cross multiply
    130.48x = 180.24 × 102.88
  4. Step 4: Simplify right side
    130.48x = 18,543.09
  5. Step 5: Solve for x
    x = 18,543.09/130.48
  6. Step 6: Final answer
    x = 142.11

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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.