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Finding the Fourth Proportional to 59.90, 90.33 and 59.09

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Solution

The fourth proportional to 59.90, 90.33 and 59.09 is: 89.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.90 : 90.33 = 59.09 : x
  2. Step 2: Convert to fraction form
    59.90/90.33 = 59.09/x
  3. Step 3: Cross multiply
    59.90x = 90.33 × 59.09
  4. Step 4: Simplify right side
    59.90x = 5,337.23
  5. Step 5: Solve for x
    x = 5,337.23/59.90
  6. Step 6: Final answer
    x = 89.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.