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Finding the Fourth Proportional to 30.97, 46.66 and 25.10

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Solution

The fourth proportional to 30.97, 46.66 and 25.10 is: 37.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.66 = 25.10 : x
  2. Step 2: Convert to fraction form
    30.97/46.66 = 25.10/x
  3. Step 3: Cross multiply
    30.97x = 46.66 × 25.10
  4. Step 4: Simplify right side
    30.97x = 1,171.17
  5. Step 5: Solve for x
    x = 1,171.17/30.97
  6. Step 6: Final answer
    x = 37.82

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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.