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Finding the Fourth Proportional to 34.60, 52.08 and 30.14

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Solution

The fourth proportional to 34.60, 52.08 and 30.14 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.60 : 52.08 = 30.14 : x
  2. Step 2: Convert to fraction form
    34.60/52.08 = 30.14/x
  3. Step 3: Cross multiply
    34.60x = 52.08 × 30.14
  4. Step 4: Simplify right side
    34.60x = 1,569.69
  5. Step 5: Solve for x
    x = 1,569.69/34.60
  6. Step 6: Final answer
    x = 45.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.