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Finding the Fourth Proportional to 91.34, 137.08 and 65.68

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Solution

The fourth proportional to 91.34, 137.08 and 65.68 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.34 : 137.08 = 65.68 : x
  2. Step 2: Convert to fraction form
    91.34/137.08 = 65.68/x
  3. Step 3: Cross multiply
    91.34x = 137.08 × 65.68
  4. Step 4: Simplify right side
    91.34x = 9,003.41
  5. Step 5: Solve for x
    x = 9,003.41/91.34
  6. Step 6: Final answer
    x = 98.57

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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.