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Finding the Fourth Proportional to 88.90, 133.25 and 34.78

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Solution

The fourth proportional to 88.90, 133.25 and 34.78 is: 52.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.90 : 133.25 = 34.78 : x
  2. Step 2: Convert to fraction form
    88.90/133.25 = 34.78/x
  3. Step 3: Cross multiply
    88.90x = 133.25 × 34.78
  4. Step 4: Simplify right side
    88.90x = 4,633.59
  5. Step 5: Solve for x
    x = 4,633.59/88.90
  6. Step 6: Final answer
    x = 52.12

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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.