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Finding the Fourth Proportional to 155.90, 215.12 and 96.88

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Solution

The fourth proportional to 155.90, 215.12 and 96.88 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 215.12 = 96.88 : x
  2. Step 2: Convert to fraction form
    155.90/215.12 = 96.88/x
  3. Step 3: Cross multiply
    155.90x = 215.12 × 96.88
  4. Step 4: Simplify right side
    155.90x = 20,840.83
  5. Step 5: Solve for x
    x = 20,840.83/155.90
  6. Step 6: Final answer
    x = 133.68

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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.