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Finding the Fourth Proportional to 130.59, 180.13 and 81.45

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Solution

The fourth proportional to 130.59, 180.13 and 81.45 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.59 : 180.13 = 81.45 : x
  2. Step 2: Convert to fraction form
    130.59/180.13 = 81.45/x
  3. Step 3: Cross multiply
    130.59x = 180.13 × 81.45
  4. Step 4: Simplify right side
    130.59x = 14,671.18
  5. Step 5: Solve for x
    x = 14,671.18/130.59
  6. Step 6: Final answer
    x = 112.35

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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.