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Finding the Fourth Proportional to 77.23, 106.50 and 65.08

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Solution

The fourth proportional to 77.23, 106.50 and 65.08 is: 89.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 106.50 = 65.08 : x
  2. Step 2: Convert to fraction form
    77.23/106.50 = 65.08/x
  3. Step 3: Cross multiply
    77.23x = 106.50 × 65.08
  4. Step 4: Simplify right side
    77.23x = 6,930.75
  5. Step 5: Solve for x
    x = 6,930.75/77.23
  6. Step 6: Final answer
    x = 89.74

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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.