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Finding the Fourth Proportional to 77.52, 106.98 and 58.08

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Solution

The fourth proportional to 77.52, 106.98 and 58.08 is: 80.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 106.98 = 58.08 : x
  2. Step 2: Convert to fraction form
    77.52/106.98 = 58.08/x
  3. Step 3: Cross multiply
    77.52x = 106.98 × 58.08
  4. Step 4: Simplify right side
    77.52x = 6,213.40
  5. Step 5: Solve for x
    x = 6,213.40/77.52
  6. Step 6: Final answer
    x = 80.15

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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.