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Finding the Fourth Proportional to 283.12, 424.56 and 100.54

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Solution

The fourth proportional to 283.12, 424.56 and 100.54 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.12 : 424.56 = 100.54 : x
  2. Step 2: Convert to fraction form
    283.12/424.56 = 100.54/x
  3. Step 3: Cross multiply
    283.12x = 424.56 × 100.54
  4. Step 4: Simplify right side
    283.12x = 42,685.26
  5. Step 5: Solve for x
    x = 42,685.26/283.12
  6. Step 6: Final answer
    x = 150.77

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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.