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Finding the Fourth Proportional to 97.64, 134.75 and 53.99

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Solution

The fourth proportional to 97.64, 134.75 and 53.99 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 134.75 = 53.99 : x
  2. Step 2: Convert to fraction form
    97.64/134.75 = 53.99/x
  3. Step 3: Cross multiply
    97.64x = 134.75 × 53.99
  4. Step 4: Simplify right side
    97.64x = 7,274.21
  5. Step 5: Solve for x
    x = 7,274.21/97.64
  6. Step 6: Final answer
    x = 74.50

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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.