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Finding the Fourth Proportional to 52.06, 71.86 and 32.67

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Solution

The fourth proportional to 52.06, 71.86 and 32.67 is: 45.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 71.86 = 32.67 : x
  2. Step 2: Convert to fraction form
    52.06/71.86 = 32.67/x
  3. Step 3: Cross multiply
    52.06x = 71.86 × 32.67
  4. Step 4: Simplify right side
    52.06x = 2,347.67
  5. Step 5: Solve for x
    x = 2,347.67/52.06
  6. Step 6: Final answer
    x = 45.10

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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.