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Finding the Fourth Proportional to 65.68, 99.02 and 61.04

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Solution

The fourth proportional to 65.68, 99.02 and 61.04 is: 92.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 99.02 = 61.04 : x
  2. Step 2: Convert to fraction form
    65.68/99.02 = 61.04/x
  3. Step 3: Cross multiply
    65.68x = 99.02 × 61.04
  4. Step 4: Simplify right side
    65.68x = 6,044.18
  5. Step 5: Solve for x
    x = 6,044.18/65.68
  6. Step 6: Final answer
    x = 92.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.