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Finding the Fourth Proportional to 25.34, 37.78 and 24.20

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Solution

The fourth proportional to 25.34, 37.78 and 24.20 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.34 : 37.78 = 24.20 : x
  2. Step 2: Convert to fraction form
    25.34/37.78 = 24.20/x
  3. Step 3: Cross multiply
    25.34x = 37.78 × 24.20
  4. Step 4: Simplify right side
    25.34x = 914.16
  5. Step 5: Solve for x
    x = 914.16/25.34
  6. Step 6: Final answer
    x = 36.08

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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.