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Finding the Fourth Proportional to 130.68, 180.24 and 88.68

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Solution

The fourth proportional to 130.68, 180.24 and 88.68 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 180.24 = 88.68 : x
  2. Step 2: Convert to fraction form
    130.68/180.24 = 88.68/x
  3. Step 3: Cross multiply
    130.68x = 180.24 × 88.68
  4. Step 4: Simplify right side
    130.68x = 15,983.68
  5. Step 5: Solve for x
    x = 15,983.68/130.68
  6. Step 6: Final answer
    x = 122.31

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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.