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Finding the Fourth Proportional to 155.86, 215.02 and 106.65

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Solution

The fourth proportional to 155.86, 215.02 and 106.65 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 215.02 = 106.65 : x
  2. Step 2: Convert to fraction form
    155.86/215.02 = 106.65/x
  3. Step 3: Cross multiply
    155.86x = 215.02 × 106.65
  4. Step 4: Simplify right side
    155.86x = 22,932.02
  5. Step 5: Solve for x
    x = 22,932.02/155.86
  6. Step 6: Final answer
    x = 147.13

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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.