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Finding the Fourth Proportional to 96.89, 146.10 and 95.06

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Solution

The fourth proportional to 96.89, 146.10 and 95.06 is: 143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.89 : 146.10 = 95.06 : x
  2. Step 2: Convert to fraction form
    96.89/146.10 = 95.06/x
  3. Step 3: Cross multiply
    96.89x = 146.10 × 95.06
  4. Step 4: Simplify right side
    96.89x = 13,887.79
  5. Step 5: Solve for x
    x = 13,887.79/96.89
  6. Step 6: Final answer
    x = 143.34

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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.