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Finding the Fourth Proportional to 155.91, 215.15 and 123.24

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Solution

The fourth proportional to 155.91, 215.15 and 123.24 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.91 : 215.15 = 123.24 : x
  2. Step 2: Convert to fraction form
    155.91/215.15 = 123.24/x
  3. Step 3: Cross multiply
    155.91x = 215.15 × 123.24
  4. Step 4: Simplify right side
    155.91x = 26,514.47
  5. Step 5: Solve for x
    x = 26,514.47/155.91
  6. Step 6: Final answer
    x = 170.06

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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.