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Finding the Fourth Proportional to 283.10, 424.62 and 88.09

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Solution

The fourth proportional to 283.10, 424.62 and 88.09 is: 132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 424.62 = 88.09 : x
  2. Step 2: Convert to fraction form
    283.10/424.62 = 88.09/x
  3. Step 3: Cross multiply
    283.10x = 424.62 × 88.09
  4. Step 4: Simplify right side
    283.10x = 37,403.71
  5. Step 5: Solve for x
    x = 37,403.71/283.10
  6. Step 6: Final answer
    x = 132.12

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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.