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Finding the Fourth Proportional to 77.00, 106.38 and 58.68

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Solution

The fourth proportional to 77.00, 106.38 and 58.68 is: 81.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 106.38 = 58.68 : x
  2. Step 2: Convert to fraction form
    77.00/106.38 = 58.68/x
  3. Step 3: Cross multiply
    77.00x = 106.38 × 58.68
  4. Step 4: Simplify right side
    77.00x = 6,242.38
  5. Step 5: Solve for x
    x = 6,242.38/77.00
  6. Step 6: Final answer
    x = 81.08

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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.