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Finding the Fourth Proportional to 105.01, 144.93 and 70.03

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Solution

The fourth proportional to 105.01, 144.93 and 70.03 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 144.93 = 70.03 : x
  2. Step 2: Convert to fraction form
    105.01/144.93 = 70.03/x
  3. Step 3: Cross multiply
    105.01x = 144.93 × 70.03
  4. Step 4: Simplify right side
    105.01x = 10,149.69
  5. Step 5: Solve for x
    x = 10,149.69/105.01
  6. Step 6: Final answer
    x = 96.65

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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.