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Finding the Fourth Proportional to 77.17, 106.48 and 52.64

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Solution

The fourth proportional to 77.17, 106.48 and 52.64 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.17 : 106.48 = 52.64 : x
  2. Step 2: Convert to fraction form
    77.17/106.48 = 52.64/x
  3. Step 3: Cross multiply
    77.17x = 106.48 × 52.64
  4. Step 4: Simplify right side
    77.17x = 5,605.11
  5. Step 5: Solve for x
    x = 5,605.11/77.17
  6. Step 6: Final answer
    x = 72.63

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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.