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Finding the Fourth Proportional to 133.47, 184.24 and 89.93

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Solution

The fourth proportional to 133.47, 184.24 and 89.93 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.47 : 184.24 = 89.93 : x
  2. Step 2: Convert to fraction form
    133.47/184.24 = 89.93/x
  3. Step 3: Cross multiply
    133.47x = 184.24 × 89.93
  4. Step 4: Simplify right side
    133.47x = 16,568.70
  5. Step 5: Solve for x
    x = 16,568.70/133.47
  6. Step 6: Final answer
    x = 124.14

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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.