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Finding the Fourth Proportional to 105.35, 145.07 and 90.49

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Solution

The fourth proportional to 105.35, 145.07 and 90.49 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.35 : 145.07 = 90.49 : x
  2. Step 2: Convert to fraction form
    105.35/145.07 = 90.49/x
  3. Step 3: Cross multiply
    105.35x = 145.07 × 90.49
  4. Step 4: Simplify right side
    105.35x = 13,127.69
  5. Step 5: Solve for x
    x = 13,127.69/105.35
  6. Step 6: Final answer
    x = 124.61

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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.