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Finding the Fourth Proportional to 101, 139.38 and 57.34

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Solution

The fourth proportional to 101, 139.38 and 57.34 is: 79.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 139.38 = 57.34 : x
  2. Step 2: Convert to fraction form
    101/139.38 = 57.34/x
  3. Step 3: Cross multiply
    101x = 139.38 × 57.34
  4. Step 4: Simplify right side
    101x = 7,992.05
  5. Step 5: Solve for x
    x = 7,992.05/101
  6. Step 6: Final answer
    x = 79.13

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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.