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Finding the Fourth Proportional to 191.77, 287.70 and 61.81

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Solution

The fourth proportional to 191.77, 287.70 and 61.81 is: 92.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.77 : 287.70 = 61.81 : x
  2. Step 2: Convert to fraction form
    191.77/287.70 = 61.81/x
  3. Step 3: Cross multiply
    191.77x = 287.70 × 61.81
  4. Step 4: Simplify right side
    191.77x = 17,781.79
  5. Step 5: Solve for x
    x = 17,781.79/191.77
  6. Step 6: Final answer
    x = 92.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.