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Finding the Fourth Proportional to 155.90, 215.19 and 97.71

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Solution

The fourth proportional to 155.90, 215.19 and 97.71 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 215.19 = 97.71 : x
  2. Step 2: Convert to fraction form
    155.90/215.19 = 97.71/x
  3. Step 3: Cross multiply
    155.90x = 215.19 × 97.71
  4. Step 4: Simplify right side
    155.90x = 21,026.21
  5. Step 5: Solve for x
    x = 21,026.21/155.90
  6. Step 6: Final answer
    x = 134.87

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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.