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Finding the Fourth Proportional to 66.92, 92.40 and 65.86

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Solution

The fourth proportional to 66.92, 92.40 and 65.86 is: 90.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.92 : 92.40 = 65.86 : x
  2. Step 2: Convert to fraction form
    66.92/92.40 = 65.86/x
  3. Step 3: Cross multiply
    66.92x = 92.40 × 65.86
  4. Step 4: Simplify right side
    66.92x = 6,085.48
  5. Step 5: Solve for x
    x = 6,085.48/66.92
  6. Step 6: Final answer
    x = 90.93

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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.