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Finding the Fourth Proportional to 65.10, 89.43 and 61.05

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Solution

The fourth proportional to 65.10, 89.43 and 61.05 is: 83.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.43 = 61.05 : x
  2. Step 2: Convert to fraction form
    65.10/89.43 = 61.05/x
  3. Step 3: Cross multiply
    65.10x = 89.43 × 61.05
  4. Step 4: Simplify right side
    65.10x = 5,459.70
  5. Step 5: Solve for x
    x = 5,459.70/65.10
  6. Step 6: Final answer
    x = 83.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.