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Finding the Fourth Proportional to 96.02, 142.84 and 95.03

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Solution

The fourth proportional to 96.02, 142.84 and 95.03 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 142.84 = 95.03 : x
  2. Step 2: Convert to fraction form
    96.02/142.84 = 95.03/x
  3. Step 3: Cross multiply
    96.02x = 142.84 × 95.03
  4. Step 4: Simplify right side
    96.02x = 13,574.09
  5. Step 5: Solve for x
    x = 13,574.09/96.02
  6. Step 6: Final answer
    x = 141.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.