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Finding the Fourth Proportional to 130.52, 180.30 and 97.70

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Solution

The fourth proportional to 130.52, 180.30 and 97.70 is: 134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 180.30 = 97.70 : x
  2. Step 2: Convert to fraction form
    130.52/180.30 = 97.70/x
  3. Step 3: Cross multiply
    130.52x = 180.30 × 97.70
  4. Step 4: Simplify right side
    130.52x = 17,615.31
  5. Step 5: Solve for x
    x = 17,615.31/130.52
  6. Step 6: Final answer
    x = 134.96

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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.