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Finding the Fourth Proportional to 88.42, 132.54 and 65.74

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Solution

The fourth proportional to 88.42, 132.54 and 65.74 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 132.54 = 65.74 : x
  2. Step 2: Convert to fraction form
    88.42/132.54 = 65.74/x
  3. Step 3: Cross multiply
    88.42x = 132.54 × 65.74
  4. Step 4: Simplify right side
    88.42x = 8,713.18
  5. Step 5: Solve for x
    x = 8,713.18/88.42
  6. Step 6: Final answer
    x = 98.54

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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.