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Finding the Fourth Proportional to 88.42, 132.54 and 55.84

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Solution

The fourth proportional to 88.42, 132.54 and 55.84 is: 83.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 132.54 = 55.84 : x
  2. Step 2: Convert to fraction form
    88.42/132.54 = 55.84/x
  3. Step 3: Cross multiply
    88.42x = 132.54 × 55.84
  4. Step 4: Simplify right side
    88.42x = 7,401.03
  5. Step 5: Solve for x
    x = 7,401.03/88.42
  6. Step 6: Final answer
    x = 83.70

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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.