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Finding the Fourth Proportional to 65.83, 90.13 and 65.60

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Solution

The fourth proportional to 65.83, 90.13 and 65.60 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.83 : 90.13 = 65.60 : x
  2. Step 2: Convert to fraction form
    65.83/90.13 = 65.60/x
  3. Step 3: Cross multiply
    65.83x = 90.13 × 65.60
  4. Step 4: Simplify right side
    65.83x = 5,912.53
  5. Step 5: Solve for x
    x = 5,912.53/65.83
  6. Step 6: Final answer
    x = 89.82

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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.