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Finding the Fourth Proportional to 42.84, 64.17 and 24.75

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Solution

The fourth proportional to 42.84, 64.17 and 24.75 is: 37.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 64.17 = 24.75 : x
  2. Step 2: Convert to fraction form
    42.84/64.17 = 24.75/x
  3. Step 3: Cross multiply
    42.84x = 64.17 × 24.75
  4. Step 4: Simplify right side
    42.84x = 1,588.21
  5. Step 5: Solve for x
    x = 1,588.21/42.84
  6. Step 6: Final answer
    x = 37.07

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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.