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Finding the Fourth Proportional to 75.30, 113.00 and 71.43

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Solution

The fourth proportional to 75.30, 113.00 and 71.43 is: 107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 113.00 = 71.43 : x
  2. Step 2: Convert to fraction form
    75.30/113.00 = 71.43/x
  3. Step 3: Cross multiply
    75.30x = 113.00 × 71.43
  4. Step 4: Simplify right side
    75.30x = 8,071.23
  5. Step 5: Solve for x
    x = 8,071.23/75.30
  6. Step 6: Final answer
    x = 107.19

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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.