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Finding the Fourth Proportional to 52.23, 72.07 and 32.84

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Solution

The fourth proportional to 52.23, 72.07 and 32.84 is: 45.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 72.07 = 32.84 : x
  2. Step 2: Convert to fraction form
    52.23/72.07 = 32.84/x
  3. Step 3: Cross multiply
    52.23x = 72.07 × 32.84
  4. Step 4: Simplify right side
    52.23x = 2,366.34
  5. Step 5: Solve for x
    x = 2,366.34/52.23
  6. Step 6: Final answer
    x = 45.31

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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.