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Finding the Fourth Proportional to 65.30, 89.88 and 45.86

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Solution

The fourth proportional to 65.30, 89.88 and 45.86 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.30 : 89.88 = 45.86 : x
  2. Step 2: Convert to fraction form
    65.30/89.88 = 45.86/x
  3. Step 3: Cross multiply
    65.30x = 89.88 × 45.86
  4. Step 4: Simplify right side
    65.30x = 4,121.90
  5. Step 5: Solve for x
    x = 4,121.90/65.30
  6. Step 6: Final answer
    x = 63.12

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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.