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Finding the Fourth Proportional to 76.04, 113.88 and 60.77

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Solution

The fourth proportional to 76.04, 113.88 and 60.77 is: 91.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.04 : 113.88 = 60.77 : x
  2. Step 2: Convert to fraction form
    76.04/113.88 = 60.77/x
  3. Step 3: Cross multiply
    76.04x = 113.88 × 60.77
  4. Step 4: Simplify right side
    76.04x = 6,921.00
  5. Step 5: Solve for x
    x = 6,921.00/76.04
  6. Step 6: Final answer
    x = 91.02

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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.