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Finding the Fourth Proportional to 105.19, 145.26 and 76.23

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Solution

The fourth proportional to 105.19, 145.26 and 76.23 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 145.26 = 76.23 : x
  2. Step 2: Convert to fraction form
    105.19/145.26 = 76.23/x
  3. Step 3: Cross multiply
    105.19x = 145.26 × 76.23
  4. Step 4: Simplify right side
    105.19x = 11,073.17
  5. Step 5: Solve for x
    x = 11,073.17/105.19
  6. Step 6: Final answer
    x = 105.27

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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.