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Finding the Fourth Proportional to 35.16, 48.57 and 27.42

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Solution

The fourth proportional to 35.16, 48.57 and 27.42 is: 37.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.16 : 48.57 = 27.42 : x
  2. Step 2: Convert to fraction form
    35.16/48.57 = 27.42/x
  3. Step 3: Cross multiply
    35.16x = 48.57 × 27.42
  4. Step 4: Simplify right side
    35.16x = 1,331.79
  5. Step 5: Solve for x
    x = 1,331.79/35.16
  6. Step 6: Final answer
    x = 37.88

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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.