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Finding the Fourth Proportional to 106.94, 146.54 and 103.16

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Solution

The fourth proportional to 106.94, 146.54 and 103.16 is: 141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.94 : 146.54 = 103.16 : x
  2. Step 2: Convert to fraction form
    106.94/146.54 = 103.16/x
  3. Step 3: Cross multiply
    106.94x = 146.54 × 103.16
  4. Step 4: Simplify right side
    106.94x = 15,117.07
  5. Step 5: Solve for x
    x = 15,117.07/106.94
  6. Step 6: Final answer
    x = 141.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.