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Finding the Fourth Proportional to 105.14, 145.84 and 101.50

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Solution

The fourth proportional to 105.14, 145.84 and 101.50 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 145.84 = 101.50 : x
  2. Step 2: Convert to fraction form
    105.14/145.84 = 101.50/x
  3. Step 3: Cross multiply
    105.14x = 145.84 × 101.50
  4. Step 4: Simplify right side
    105.14x = 14,802.76
  5. Step 5: Solve for x
    x = 14,802.76/105.14
  6. Step 6: Final answer
    x = 140.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.