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Finding the Fourth Proportional to 48.70, 73.08 and 31.57

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Solution

The fourth proportional to 48.70, 73.08 and 31.57 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 73.08 = 31.57 : x
  2. Step 2: Convert to fraction form
    48.70/73.08 = 31.57/x
  3. Step 3: Cross multiply
    48.70x = 73.08 × 31.57
  4. Step 4: Simplify right side
    48.70x = 2,307.14
  5. Step 5: Solve for x
    x = 2,307.14/48.70
  6. Step 6: Final answer
    x = 47.37

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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.