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Finding the Fourth Proportional to 61.19, 91.81 and 30.76

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Solution

The fourth proportional to 61.19, 91.81 and 30.76 is: 46.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.19 : 91.81 = 30.76 : x
  2. Step 2: Convert to fraction form
    61.19/91.81 = 30.76/x
  3. Step 3: Cross multiply
    61.19x = 91.81 × 30.76
  4. Step 4: Simplify right side
    61.19x = 2,824.31
  5. Step 5: Solve for x
    x = 2,824.31/61.19
  6. Step 6: Final answer
    x = 46.16

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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.