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Finding the Fourth Proportional to 35.64, 49.22 and 24.75

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Solution

The fourth proportional to 35.64, 49.22 and 24.75 is: 34.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.64 : 49.22 = 24.75 : x
  2. Step 2: Convert to fraction form
    35.64/49.22 = 24.75/x
  3. Step 3: Cross multiply
    35.64x = 49.22 × 24.75
  4. Step 4: Simplify right side
    35.64x = 1,218.07
  5. Step 5: Solve for x
    x = 1,218.07/35.64
  6. Step 6: Final answer
    x = 34.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.