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Finding the Fourth Proportional to 61.64, 85.02 and 50.66

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Solution

The fourth proportional to 61.64, 85.02 and 50.66 is: 69.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.64 : 85.02 = 50.66 : x
  2. Step 2: Convert to fraction form
    61.64/85.02 = 50.66/x
  3. Step 3: Cross multiply
    61.64x = 85.02 × 50.66
  4. Step 4: Simplify right side
    61.64x = 4,307.11
  5. Step 5: Solve for x
    x = 4,307.11/61.64
  6. Step 6: Final answer
    x = 69.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.