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Finding the Fourth Proportional to 24.75, 37.35 and 24.59

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Solution

The fourth proportional to 24.75, 37.35 and 24.59 is: 37.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 37.35 = 24.59 : x
  2. Step 2: Convert to fraction form
    24.75/37.35 = 24.59/x
  3. Step 3: Cross multiply
    24.75x = 37.35 × 24.59
  4. Step 4: Simplify right side
    24.75x = 918.53
  5. Step 5: Solve for x
    x = 918.53/24.75
  6. Step 6: Final answer
    x = 37.11

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