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Finding the Fourth Proportional to 77.19, 106.50 and 55.35

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Solution

The fourth proportional to 77.19, 106.50 and 55.35 is: 76.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 106.50 = 55.35 : x
  2. Step 2: Convert to fraction form
    77.19/106.50 = 55.35/x
  3. Step 3: Cross multiply
    77.19x = 106.50 × 55.35
  4. Step 4: Simplify right side
    77.19x = 5,894.78
  5. Step 5: Solve for x
    x = 5,894.78/77.19
  6. Step 6: Final answer
    x = 76.37

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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.