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Finding the Fourth Proportional to 48.61, 72.98 and 31.56

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Solution

The fourth proportional to 48.61, 72.98 and 31.56 is: 47.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.61 : 72.98 = 31.56 : x
  2. Step 2: Convert to fraction form
    48.61/72.98 = 31.56/x
  3. Step 3: Cross multiply
    48.61x = 72.98 × 31.56
  4. Step 4: Simplify right side
    48.61x = 2,303.36
  5. Step 5: Solve for x
    x = 2,303.36/48.61
  6. Step 6: Final answer
    x = 47.39

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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.