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Finding the Fourth Proportional to 130.59, 180.41 and 102.96

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Solution

The fourth proportional to 130.59, 180.41 and 102.96 is: 142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.59 : 180.41 = 102.96 : x
  2. Step 2: Convert to fraction form
    130.59/180.41 = 102.96/x
  3. Step 3: Cross multiply
    130.59x = 180.41 × 102.96
  4. Step 4: Simplify right side
    130.59x = 18,574.50
  5. Step 5: Solve for x
    x = 18,574.50/130.59
  6. Step 6: Final answer
    x = 142.24

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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.