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Finding the Fourth Proportional to 61.40, 83.60 and 61.04

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Solution

The fourth proportional to 61.40, 83.60 and 61.04 is: 83.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.40 : 83.60 = 61.04 : x
  2. Step 2: Convert to fraction form
    61.40/83.60 = 61.04/x
  3. Step 3: Cross multiply
    61.40x = 83.60 × 61.04
  4. Step 4: Simplify right side
    61.40x = 5,102.94
  5. Step 5: Solve for x
    x = 5,102.94/61.40
  6. Step 6: Final answer
    x = 83.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.