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Finding the Fourth Proportional to 101.40, 139.86 and 70.38

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Solution

The fourth proportional to 101.40, 139.86 and 70.38 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.40 : 139.86 = 70.38 : x
  2. Step 2: Convert to fraction form
    101.40/139.86 = 70.38/x
  3. Step 3: Cross multiply
    101.40x = 139.86 × 70.38
  4. Step 4: Simplify right side
    101.40x = 9,843.35
  5. Step 5: Solve for x
    x = 9,843.35/101.40
  6. Step 6: Final answer
    x = 97.07

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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.