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Finding the Fourth Proportional to 88.34, 131.82 and 78.55

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Solution

The fourth proportional to 88.34, 131.82 and 78.55 is: 117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.34 : 131.82 = 78.55 : x
  2. Step 2: Convert to fraction form
    88.34/131.82 = 78.55/x
  3. Step 3: Cross multiply
    88.34x = 131.82 × 78.55
  4. Step 4: Simplify right side
    88.34x = 10,353.41
  5. Step 5: Solve for x
    x = 10,353.41/88.34
  6. Step 6: Final answer
    x = 117.20

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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.