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Finding the Fourth Proportional to 130.69, 180.34 and 81.53

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Solution

The fourth proportional to 130.69, 180.34 and 81.53 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 180.34 = 81.53 : x
  2. Step 2: Convert to fraction form
    130.69/180.34 = 81.53/x
  3. Step 3: Cross multiply
    130.69x = 180.34 × 81.53
  4. Step 4: Simplify right side
    130.69x = 14,703.12
  5. Step 5: Solve for x
    x = 14,703.12/130.69
  6. Step 6: Final answer
    x = 112.50

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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.