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Finding the Fourth Proportional to 70.60, 105.76 and 46.53

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Solution

The fourth proportional to 70.60, 105.76 and 46.53 is: 69.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.60 : 105.76 = 46.53 : x
  2. Step 2: Convert to fraction form
    70.60/105.76 = 46.53/x
  3. Step 3: Cross multiply
    70.60x = 105.76 × 46.53
  4. Step 4: Simplify right side
    70.60x = 4,921.01
  5. Step 5: Solve for x
    x = 4,921.01/70.60
  6. Step 6: Final answer
    x = 69.70

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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.