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Finding the Fourth Proportional to 34.16, 50.98 and 28.76

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Solution

The fourth proportional to 34.16, 50.98 and 28.76 is: 42.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.16 : 50.98 = 28.76 : x
  2. Step 2: Convert to fraction form
    34.16/50.98 = 28.76/x
  3. Step 3: Cross multiply
    34.16x = 50.98 × 28.76
  4. Step 4: Simplify right side
    34.16x = 1,466.18
  5. Step 5: Solve for x
    x = 1,466.18/34.16
  6. Step 6: Final answer
    x = 42.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.