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Finding the Fourth Proportional to 65.12, 97.36 and 55.60

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Solution

The fourth proportional to 65.12, 97.36 and 55.60 is: 83.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 97.36 = 55.60 : x
  2. Step 2: Convert to fraction form
    65.12/97.36 = 55.60/x
  3. Step 3: Cross multiply
    65.12x = 97.36 × 55.60
  4. Step 4: Simplify right side
    65.12x = 5,412.94
  5. Step 5: Solve for x
    x = 5,412.94/65.12
  6. Step 6: Final answer
    x = 83.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.