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Finding the Fourth Proportional to 106.04, 146.35 and 103.26

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Solution

The fourth proportional to 106.04, 146.35 and 103.26 is: 142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 146.35 = 103.26 : x
  2. Step 2: Convert to fraction form
    106.04/146.35 = 103.26/x
  3. Step 3: Cross multiply
    106.04x = 146.35 × 103.26
  4. Step 4: Simplify right side
    106.04x = 15,111.58
  5. Step 5: Solve for x
    x = 15,111.58/106.04
  6. Step 6: Final answer
    x = 142.52

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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.