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Finding the Fourth Proportional to 61.67, 92.11 and 56.00

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Solution

The fourth proportional to 61.67, 92.11 and 56.00 is: 83.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 92.11 = 56.00 : x
  2. Step 2: Convert to fraction form
    61.67/92.11 = 56.00/x
  3. Step 3: Cross multiply
    61.67x = 92.11 × 56.00
  4. Step 4: Simplify right side
    61.67x = 5,158.25
  5. Step 5: Solve for x
    x = 5,158.25/61.67
  6. Step 6: Final answer
    x = 83.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.