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Finding the Fourth Proportional to 77.16, 106.57 and 61.00

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Solution

The fourth proportional to 77.16, 106.57 and 61.00 is: 84.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.16 : 106.57 = 61.00 : x
  2. Step 2: Convert to fraction form
    77.16/106.57 = 61.00/x
  3. Step 3: Cross multiply
    77.16x = 106.57 × 61.00
  4. Step 4: Simplify right side
    77.16x = 6,500.08
  5. Step 5: Solve for x
    x = 6,500.08/77.16
  6. Step 6: Final answer
    x = 84.25

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Why These Related Problems?

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