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Finding the Fourth Proportional to 25.66, 38.48 and 9.42

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Solution

The fourth proportional to 25.66, 38.48 and 9.42 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.66 : 38.48 = 9.42 : x
  2. Step 2: Convert to fraction form
    25.66/38.48 = 9.42/x
  3. Step 3: Cross multiply
    25.66x = 38.48 × 9.42
  4. Step 4: Simplify right side
    25.66x = 362.48
  5. Step 5: Solve for x
    x = 362.48/25.66
  6. Step 6: Final answer
    x = 14.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.