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Finding the Fourth Proportional to 102.45, 142.03 and 96.98

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Solution

The fourth proportional to 102.45, 142.03 and 96.98 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.45 : 142.03 = 96.98 : x
  2. Step 2: Convert to fraction form
    102.45/142.03 = 96.98/x
  3. Step 3: Cross multiply
    102.45x = 142.03 × 96.98
  4. Step 4: Simplify right side
    102.45x = 13,774.07
  5. Step 5: Solve for x
    x = 13,774.07/102.45
  6. Step 6: Final answer
    x = 134.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.