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Finding the Fourth Proportional to 97.76, 146.66 and 88.24

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Solution

The fourth proportional to 97.76, 146.66 and 88.24 is: 132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 146.66 = 88.24 : x
  2. Step 2: Convert to fraction form
    97.76/146.66 = 88.24/x
  3. Step 3: Cross multiply
    97.76x = 146.66 × 88.24
  4. Step 4: Simplify right side
    97.76x = 12,941.24
  5. Step 5: Solve for x
    x = 12,941.24/97.76
  6. Step 6: Final answer
    x = 132.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.