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Finding the Fourth Proportional to 71.54, 107.30 and 30.40

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Solution

The fourth proportional to 71.54, 107.30 and 30.40 is: 45.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.54 : 107.30 = 30.40 : x
  2. Step 2: Convert to fraction form
    71.54/107.30 = 30.40/x
  3. Step 3: Cross multiply
    71.54x = 107.30 × 30.40
  4. Step 4: Simplify right side
    71.54x = 3,261.92
  5. Step 5: Solve for x
    x = 3,261.92/71.54
  6. Step 6: Final answer
    x = 45.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.