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Finding the Fourth Proportional to 25.40, 37.84 and 24

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Solution

The fourth proportional to 25.40, 37.84 and 24 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.40 : 37.84 = 24 : x
  2. Step 2: Convert to fraction form
    25.40/37.84 = 24/x
  3. Step 3: Cross multiply
    25.40x = 37.84 × 24
  4. Step 4: Simplify right side
    25.40x = 908.16
  5. Step 5: Solve for x
    x = 908.16/25.40
  6. Step 6: Final answer
    x = 35.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.