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Finding the Fourth Proportional to 151.54, 227.30 and 48.81

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Solution

The fourth proportional to 151.54, 227.30 and 48.81 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.54 : 227.30 = 48.81 : x
  2. Step 2: Convert to fraction form
    151.54/227.30 = 48.81/x
  3. Step 3: Cross multiply
    151.54x = 227.30 × 48.81
  4. Step 4: Simplify right side
    151.54x = 11,094.51
  5. Step 5: Solve for x
    x = 11,094.51/151.54
  6. Step 6: Final answer
    x = 73.21

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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.