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Finding the Fourth Proportional to 46.68, 70.08 and 29.60

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Solution

The fourth proportional to 46.68, 70.08 and 29.60 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.68 : 70.08 = 29.60 : x
  2. Step 2: Convert to fraction form
    46.68/70.08 = 29.60/x
  3. Step 3: Cross multiply
    46.68x = 70.08 × 29.60
  4. Step 4: Simplify right side
    46.68x = 2,074.02
  5. Step 5: Solve for x
    x = 2,074.02/46.68
  6. Step 6: Final answer
    x = 44.43

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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.