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Finding the Fourth Proportional to 70.48, 105.74 and 43.46

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Solution

The fourth proportional to 70.48, 105.74 and 43.46 is: 65.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 105.74 = 43.46 : x
  2. Step 2: Convert to fraction form
    70.48/105.74 = 43.46/x
  3. Step 3: Cross multiply
    70.48x = 105.74 × 43.46
  4. Step 4: Simplify right side
    70.48x = 4,595.46
  5. Step 5: Solve for x
    x = 4,595.46/70.48
  6. Step 6: Final answer
    x = 65.20

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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.