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Finding the Fourth Proportional to 97.37, 134.18 and 90.02

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Solution

The fourth proportional to 97.37, 134.18 and 90.02 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.37 : 134.18 = 90.02 : x
  2. Step 2: Convert to fraction form
    97.37/134.18 = 90.02/x
  3. Step 3: Cross multiply
    97.37x = 134.18 × 90.02
  4. Step 4: Simplify right side
    97.37x = 12,077.76
  5. Step 5: Solve for x
    x = 12,077.76/97.37
  6. Step 6: Final answer
    x = 124.05

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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.