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Finding the Fourth Proportional to 155.04, 213.82 and 99.76

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Solution

The fourth proportional to 155.04, 213.82 and 99.76 is: 137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 213.82 = 99.76 : x
  2. Step 2: Convert to fraction form
    155.04/213.82 = 99.76/x
  3. Step 3: Cross multiply
    155.04x = 213.82 × 99.76
  4. Step 4: Simplify right side
    155.04x = 21,330.68
  5. Step 5: Solve for x
    x = 21,330.68/155.04
  6. Step 6: Final answer
    x = 137.58

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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.