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Finding the Fourth Proportional to 130.59, 180.26 and 97.34

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Solution

The fourth proportional to 130.59, 180.26 and 97.34 is: 134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.59 : 180.26 = 97.34 : x
  2. Step 2: Convert to fraction form
    130.59/180.26 = 97.34/x
  3. Step 3: Cross multiply
    130.59x = 180.26 × 97.34
  4. Step 4: Simplify right side
    130.59x = 17,545.12
  5. Step 5: Solve for x
    x = 17,545.12/130.59
  6. Step 6: Final answer
    x = 134.35

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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.