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Finding the Fourth Proportional to 52.19, 72.02 and 30.35

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Solution

The fourth proportional to 52.19, 72.02 and 30.35 is: 41.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 72.02 = 30.35 : x
  2. Step 2: Convert to fraction form
    52.19/72.02 = 30.35/x
  3. Step 3: Cross multiply
    52.19x = 72.02 × 30.35
  4. Step 4: Simplify right side
    52.19x = 2,185.81
  5. Step 5: Solve for x
    x = 2,185.81/52.19
  6. Step 6: Final answer
    x = 41.88

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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.