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Finding the Fourth Proportional to 76.10, 113.88 and 59.84

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Solution

The fourth proportional to 76.10, 113.88 and 59.84 is: 89.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 113.88 = 59.84 : x
  2. Step 2: Convert to fraction form
    76.10/113.88 = 59.84/x
  3. Step 3: Cross multiply
    76.10x = 113.88 × 59.84
  4. Step 4: Simplify right side
    76.10x = 6,814.58
  5. Step 5: Solve for x
    x = 6,814.58/76.10
  6. Step 6: Final answer
    x = 89.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.