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Finding the Fourth Proportional to 84.96, 127.32 and 41.64

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Solution

The fourth proportional to 84.96, 127.32 and 41.64 is: 62.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 127.32 = 41.64 : x
  2. Step 2: Convert to fraction form
    84.96/127.32 = 41.64/x
  3. Step 3: Cross multiply
    84.96x = 127.32 × 41.64
  4. Step 4: Simplify right side
    84.96x = 5,301.60
  5. Step 5: Solve for x
    x = 5,301.60/84.96
  6. Step 6: Final answer
    x = 62.40

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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.