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Finding the Fourth Proportional to 25.07, 37.71 and 24.71

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Solution

The fourth proportional to 25.07, 37.71 and 24.71 is: 37.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.07 : 37.71 = 24.71 : x
  2. Step 2: Convert to fraction form
    25.07/37.71 = 24.71/x
  3. Step 3: Cross multiply
    25.07x = 37.71 × 24.71
  4. Step 4: Simplify right side
    25.07x = 931.63
  5. Step 5: Solve for x
    x = 931.63/25.07
  6. Step 6: Final answer
    x = 37.17

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Why These Related Problems?

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