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Finding the Fourth Proportional to 24.95, 37.42 and 10.51

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Solution

The fourth proportional to 24.95, 37.42 and 10.51 is: 15.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.95 : 37.42 = 10.51 : x
  2. Step 2: Convert to fraction form
    24.95/37.42 = 10.51/x
  3. Step 3: Cross multiply
    24.95x = 37.42 × 10.51
  4. Step 4: Simplify right side
    24.95x = 393.16
  5. Step 5: Solve for x
    x = 393.16/24.95
  6. Step 6: Final answer
    x = 15.76

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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.