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Finding the Fourth Proportional to 97.60, 135.04 and 93.60

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Solution

The fourth proportional to 97.60, 135.04 and 93.60 is: 129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 135.04 = 93.60 : x
  2. Step 2: Convert to fraction form
    97.60/135.04 = 93.60/x
  3. Step 3: Cross multiply
    97.60x = 135.04 × 93.60
  4. Step 4: Simplify right side
    97.60x = 12,639.74
  5. Step 5: Solve for x
    x = 12,639.74/97.60
  6. Step 6: Final answer
    x = 129.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.