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Finding the Fourth Proportional to 88.98, 133.44 and 24.84

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Solution

The fourth proportional to 88.98, 133.44 and 24.84 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.98 : 133.44 = 24.84 : x
  2. Step 2: Convert to fraction form
    88.98/133.44 = 24.84/x
  3. Step 3: Cross multiply
    88.98x = 133.44 × 24.84
  4. Step 4: Simplify right side
    88.98x = 3,314.65
  5. Step 5: Solve for x
    x = 3,314.65/88.98
  6. Step 6: Final answer
    x = 37.25

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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.