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Finding the Fourth Proportional to 52.17, 71.95 and 33.77

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Solution

The fourth proportional to 52.17, 71.95 and 33.77 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 71.95 = 33.77 : x
  2. Step 2: Convert to fraction form
    52.17/71.95 = 33.77/x
  3. Step 3: Cross multiply
    52.17x = 71.95 × 33.77
  4. Step 4: Simplify right side
    52.17x = 2,429.75
  5. Step 5: Solve for x
    x = 2,429.75/52.17
  6. Step 6: Final answer
    x = 46.57

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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.