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Finding the Fourth Proportional to 76.04, 114 and 59.78

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Solution

The fourth proportional to 76.04, 114 and 59.78 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.04 : 114 = 59.78 : x
  2. Step 2: Convert to fraction form
    76.04/114 = 59.78/x
  3. Step 3: Cross multiply
    76.04x = 114 × 59.78
  4. Step 4: Simplify right side
    76.04x = 6,814.92
  5. Step 5: Solve for x
    x = 6,814.92/76.04
  6. Step 6: Final answer
    x = 89.62

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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.