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Finding the Fourth Proportional to 70.93, 106.32 and 46.58

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Solution

The fourth proportional to 70.93, 106.32 and 46.58 is: 69.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.93 : 106.32 = 46.58 : x
  2. Step 2: Convert to fraction form
    70.93/106.32 = 46.58/x
  3. Step 3: Cross multiply
    70.93x = 106.32 × 46.58
  4. Step 4: Simplify right side
    70.93x = 4,952.03
  5. Step 5: Solve for x
    x = 4,952.03/70.93
  6. Step 6: Final answer
    x = 69.81

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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.