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Finding the Fourth Proportional to 105.88, 146.28 and 97.72

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Solution

The fourth proportional to 105.88, 146.28 and 97.72 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 146.28 = 97.72 : x
  2. Step 2: Convert to fraction form
    105.88/146.28 = 97.72/x
  3. Step 3: Cross multiply
    105.88x = 146.28 × 97.72
  4. Step 4: Simplify right side
    105.88x = 14,294.48
  5. Step 5: Solve for x
    x = 14,294.48/105.88
  6. Step 6: Final answer
    x = 135.01

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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.