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Finding the Fourth Proportional to 102.00, 152.03 and 96.23

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Solution

The fourth proportional to 102.00, 152.03 and 96.23 is: 143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.00 : 152.03 = 96.23 : x
  2. Step 2: Convert to fraction form
    102.00/152.03 = 96.23/x
  3. Step 3: Cross multiply
    102.00x = 152.03 × 96.23
  4. Step 4: Simplify right side
    102.00x = 14,629.75
  5. Step 5: Solve for x
    x = 14,629.75/102.00
  6. Step 6: Final answer
    x = 143.43

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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.