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Finding the Fourth Proportional to 92.34, 137.95 and 66.44

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Solution

The fourth proportional to 92.34, 137.95 and 66.44 is: 99.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.34 : 137.95 = 66.44 : x
  2. Step 2: Convert to fraction form
    92.34/137.95 = 66.44/x
  3. Step 3: Cross multiply
    92.34x = 137.95 × 66.44
  4. Step 4: Simplify right side
    92.34x = 9,165.07
  5. Step 5: Solve for x
    x = 9,165.07/92.34
  6. Step 6: Final answer
    x = 99.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.