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Finding the Fourth Proportional to 101.84, 139.30 and 101.42

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Solution

The fourth proportional to 101.84, 139.30 and 101.42 is: 138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 139.30 = 101.42 : x
  2. Step 2: Convert to fraction form
    101.84/139.30 = 101.42/x
  3. Step 3: Cross multiply
    101.84x = 139.30 × 101.42
  4. Step 4: Simplify right side
    101.84x = 14,127.81
  5. Step 5: Solve for x
    x = 14,127.81/101.84
  6. Step 6: Final answer
    x = 138.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.