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Finding the Fourth Proportional to 61.83, 91.46 and 61.83

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Solution

The fourth proportional to 61.83, 91.46 and 61.83 is: 91.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 91.46 = 61.83 : x
  2. Step 2: Convert to fraction form
    61.83/91.46 = 61.83/x
  3. Step 3: Cross multiply
    61.83x = 91.46 × 61.83
  4. Step 4: Simplify right side
    61.83x = 5,655.13
  5. Step 5: Solve for x
    x = 5,655.13/61.83
  6. Step 6: Final answer
    x = 91.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.