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Finding the Fourth Proportional to 123.70, 185.60 and 46.70

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Solution

The fourth proportional to 123.70, 185.60 and 46.70 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.70 : 185.60 = 46.70 : x
  2. Step 2: Convert to fraction form
    123.70/185.60 = 46.70/x
  3. Step 3: Cross multiply
    123.70x = 185.60 × 46.70
  4. Step 4: Simplify right side
    123.70x = 8,666.36
  5. Step 5: Solve for x
    x = 8,666.36/123.70
  6. Step 6: Final answer
    x = 70.06

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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.