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Finding the Fourth Proportional to 102.98, 154.48 and 25.95

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Solution

The fourth proportional to 102.98, 154.48 and 25.95 is: 38.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 154.48 = 25.95 : x
  2. Step 2: Convert to fraction form
    102.98/154.48 = 25.95/x
  3. Step 3: Cross multiply
    102.98x = 154.48 × 25.95
  4. Step 4: Simplify right side
    102.98x = 4,008.69
  5. Step 5: Solve for x
    x = 4,008.69/102.98
  6. Step 6: Final answer
    x = 38.93

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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.