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Finding the Fourth Proportional to 97.14, 146.58 and 96.06

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Solution

The fourth proportional to 97.14, 146.58 and 96.06 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 146.58 = 96.06 : x
  2. Step 2: Convert to fraction form
    97.14/146.58 = 96.06/x
  3. Step 3: Cross multiply
    97.14x = 146.58 × 96.06
  4. Step 4: Simplify right side
    97.14x = 14,080.47
  5. Step 5: Solve for x
    x = 14,080.47/97.14
  6. Step 6: Final answer
    x = 144.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.