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Finding the Fourth Proportional to 70.59, 106.09 and 46.70

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Solution

The fourth proportional to 70.59, 106.09 and 46.70 is: 70.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 106.09 = 46.70 : x
  2. Step 2: Convert to fraction form
    70.59/106.09 = 46.70/x
  3. Step 3: Cross multiply
    70.59x = 106.09 × 46.70
  4. Step 4: Simplify right side
    70.59x = 4,953.87
  5. Step 5: Solve for x
    x = 4,953.87/70.59
  6. Step 6: Final answer
    x = 70.18

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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.