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Finding the Fourth Proportional to 130.57, 180.31 and 97.77

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Solution

The fourth proportional to 130.57, 180.31 and 97.77 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 180.31 = 97.77 : x
  2. Step 2: Convert to fraction form
    130.57/180.31 = 97.77/x
  3. Step 3: Cross multiply
    130.57x = 180.31 × 97.77
  4. Step 4: Simplify right side
    130.57x = 17,628.91
  5. Step 5: Solve for x
    x = 17,628.91/130.57
  6. Step 6: Final answer
    x = 135.02

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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.