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Finding the Fourth Proportional to 65.19, 89.86 and 46.74

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Solution

The fourth proportional to 65.19, 89.86 and 46.74 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.19 : 89.86 = 46.74 : x
  2. Step 2: Convert to fraction form
    65.19/89.86 = 46.74/x
  3. Step 3: Cross multiply
    65.19x = 89.86 × 46.74
  4. Step 4: Simplify right side
    65.19x = 4,200.06
  5. Step 5: Solve for x
    x = 4,200.06/65.19
  6. Step 6: Final answer
    x = 64.43

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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.