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Finding the Fourth Proportional to 86.50, 119.35 and 65.77

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Solution

The fourth proportional to 86.50, 119.35 and 65.77 is: 90.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.50 : 119.35 = 65.77 : x
  2. Step 2: Convert to fraction form
    86.50/119.35 = 65.77/x
  3. Step 3: Cross multiply
    86.50x = 119.35 × 65.77
  4. Step 4: Simplify right side
    86.50x = 7,849.65
  5. Step 5: Solve for x
    x = 7,849.65/86.50
  6. Step 6: Final answer
    x = 90.75

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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.