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Finding the Fourth Proportional to 151.68, 227.54 and 48.98

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Solution

The fourth proportional to 151.68, 227.54 and 48.98 is: 73.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 227.54 = 48.98 : x
  2. Step 2: Convert to fraction form
    151.68/227.54 = 48.98/x
  3. Step 3: Cross multiply
    151.68x = 227.54 × 48.98
  4. Step 4: Simplify right side
    151.68x = 11,145.23
  5. Step 5: Solve for x
    x = 11,145.23/151.68
  6. Step 6: Final answer
    x = 73.48

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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.