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Finding the Fourth Proportional to 92.41, 137.74 and 88.36

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Solution

The fourth proportional to 92.41, 137.74 and 88.36 is: 131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.41 : 137.74 = 88.36 : x
  2. Step 2: Convert to fraction form
    92.41/137.74 = 88.36/x
  3. Step 3: Cross multiply
    92.41x = 137.74 × 88.36
  4. Step 4: Simplify right side
    92.41x = 12,170.71
  5. Step 5: Solve for x
    x = 12,170.71/92.41
  6. Step 6: Final answer
    x = 131.70

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Why These Related Problems?

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