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Finding the Fourth Proportional to 52.19, 72.01 and 33.77

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Solution

The fourth proportional to 52.19, 72.01 and 33.77 is: 46.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 72.01 = 33.77 : x
  2. Step 2: Convert to fraction form
    52.19/72.01 = 33.77/x
  3. Step 3: Cross multiply
    52.19x = 72.01 × 33.77
  4. Step 4: Simplify right side
    52.19x = 2,431.69
  5. Step 5: Solve for x
    x = 2,431.69/52.19
  6. Step 6: Final answer
    x = 46.60

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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.