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Finding the Fourth Proportional to 61.96, 92.66 and 53.50

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Solution

The fourth proportional to 61.96, 92.66 and 53.50 is: 80.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.96 : 92.66 = 53.50 : x
  2. Step 2: Convert to fraction form
    61.96/92.66 = 53.50/x
  3. Step 3: Cross multiply
    61.96x = 92.66 × 53.50
  4. Step 4: Simplify right side
    61.96x = 4,957.31
  5. Step 5: Solve for x
    x = 4,957.31/61.96
  6. Step 6: Final answer
    x = 80.01

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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.