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Finding the Fourth Proportional to 76.11, 105.06 and 62.45

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Solution

The fourth proportional to 76.11, 105.06 and 62.45 is: 86.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.11 : 105.06 = 62.45 : x
  2. Step 2: Convert to fraction form
    76.11/105.06 = 62.45/x
  3. Step 3: Cross multiply
    76.11x = 105.06 × 62.45
  4. Step 4: Simplify right side
    76.11x = 6,560.47
  5. Step 5: Solve for x
    x = 6,560.47/76.11
  6. Step 6: Final answer
    x = 86.20

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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.