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Finding the Fourth Proportional to 71.70, 107.44 and 52.35

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Solution

The fourth proportional to 71.70, 107.44 and 52.35 is: 78.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 107.44 = 52.35 : x
  2. Step 2: Convert to fraction form
    71.70/107.44 = 52.35/x
  3. Step 3: Cross multiply
    71.70x = 107.44 × 52.35
  4. Step 4: Simplify right side
    71.70x = 5,624.76
  5. Step 5: Solve for x
    x = 5,624.76/71.70
  6. Step 6: Final answer
    x = 78.45

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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.