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Finding the Fourth Proportional to 73.51, 101.41 and 48.94

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Solution

The fourth proportional to 73.51, 101.41 and 48.94 is: 67.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 101.41 = 48.94 : x
  2. Step 2: Convert to fraction form
    73.51/101.41 = 48.94/x
  3. Step 3: Cross multiply
    73.51x = 101.41 × 48.94
  4. Step 4: Simplify right side
    73.51x = 4,963.01
  5. Step 5: Solve for x
    x = 4,963.01/73.51
  6. Step 6: Final answer
    x = 67.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.