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Finding the Fourth Proportional to 76.85, 106.04 and 52.28

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Solution

The fourth proportional to 76.85, 106.04 and 52.28 is: 72.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.85 : 106.04 = 52.28 : x
  2. Step 2: Convert to fraction form
    76.85/106.04 = 52.28/x
  3. Step 3: Cross multiply
    76.85x = 106.04 × 52.28
  4. Step 4: Simplify right side
    76.85x = 5,543.37
  5. Step 5: Solve for x
    x = 5,543.37/76.85
  6. Step 6: Final answer
    x = 72.14

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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.