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Finding the Fourth Proportional to 282.04, 423.06 and 76.61

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Solution

The fourth proportional to 282.04, 423.06 and 76.61 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.04 : 423.06 = 76.61 : x
  2. Step 2: Convert to fraction form
    282.04/423.06 = 76.61/x
  3. Step 3: Cross multiply
    282.04x = 423.06 × 76.61
  4. Step 4: Simplify right side
    282.04x = 32,410.10
  5. Step 5: Solve for x
    x = 32,410.10/282.04
  6. Step 6: Final answer
    x = 114.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.