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Finding the Fourth Proportional to 35.16, 48.56 and 24.78

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Solution

The fourth proportional to 35.16, 48.56 and 24.78 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.16 : 48.56 = 24.78 : x
  2. Step 2: Convert to fraction form
    35.16/48.56 = 24.78/x
  3. Step 3: Cross multiply
    35.16x = 48.56 × 24.78
  4. Step 4: Simplify right side
    35.16x = 1,203.32
  5. Step 5: Solve for x
    x = 1,203.32/35.16
  6. Step 6: Final answer
    x = 34.22

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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.