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Finding the Fourth Proportional to 105.13, 145.07 and 59.13

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Solution

The fourth proportional to 105.13, 145.07 and 59.13 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.13 : 145.07 = 59.13 : x
  2. Step 2: Convert to fraction form
    105.13/145.07 = 59.13/x
  3. Step 3: Cross multiply
    105.13x = 145.07 × 59.13
  4. Step 4: Simplify right side
    105.13x = 8,577.99
  5. Step 5: Solve for x
    x = 8,577.99/105.13
  6. Step 6: Final answer
    x = 81.59

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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.