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Finding the Fourth Proportional to 52.09, 77.70 and 47.53

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Solution

The fourth proportional to 52.09, 77.70 and 47.53 is: 70.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 77.70 = 47.53 : x
  2. Step 2: Convert to fraction form
    52.09/77.70 = 47.53/x
  3. Step 3: Cross multiply
    52.09x = 77.70 × 47.53
  4. Step 4: Simplify right side
    52.09x = 3,692.84
  5. Step 5: Solve for x
    x = 3,692.84/52.09
  6. Step 6: Final answer
    x = 70.90

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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.