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Finding the Fourth Proportional to 75.51, 104.14 and 49.29

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Solution

The fourth proportional to 75.51, 104.14 and 49.29 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.51 : 104.14 = 49.29 : x
  2. Step 2: Convert to fraction form
    75.51/104.14 = 49.29/x
  3. Step 3: Cross multiply
    75.51x = 104.14 × 49.29
  4. Step 4: Simplify right side
    75.51x = 5,133.06
  5. Step 5: Solve for x
    x = 5,133.06/75.51
  6. Step 6: Final answer
    x = 67.98

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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.