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Finding the Fourth Proportional to 102.95, 142.73 and 97.48

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Solution

The fourth proportional to 102.95, 142.73 and 97.48 is: 135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 142.73 = 97.48 : x
  2. Step 2: Convert to fraction form
    102.95/142.73 = 97.48/x
  3. Step 3: Cross multiply
    102.95x = 142.73 × 97.48
  4. Step 4: Simplify right side
    102.95x = 13,913.32
  5. Step 5: Solve for x
    x = 13,913.32/102.95
  6. Step 6: Final answer
    x = 135.15

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