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Finding the Fourth Proportional to 52.19, 77.81 and 49.34

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Solution

The fourth proportional to 52.19, 77.81 and 49.34 is: 73.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 77.81 = 49.34 : x
  2. Step 2: Convert to fraction form
    52.19/77.81 = 49.34/x
  3. Step 3: Cross multiply
    52.19x = 77.81 × 49.34
  4. Step 4: Simplify right side
    52.19x = 3,838.51
  5. Step 5: Solve for x
    x = 3,838.51/52.19
  6. Step 6: Final answer
    x = 73.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.