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Finding the Fourth Proportional to 97, 146.23 and 95.56

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Solution

The fourth proportional to 97, 146.23 and 95.56 is: 144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 146.23 = 95.56 : x
  2. Step 2: Convert to fraction form
    97/146.23 = 95.56/x
  3. Step 3: Cross multiply
    97x = 146.23 × 95.56
  4. Step 4: Simplify right side
    97x = 13,973.74
  5. Step 5: Solve for x
    x = 13,973.74/97
  6. Step 6: Final answer
    x = 144.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.