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Finding the Fourth Proportional to 64.68, 89.33 and 53.66

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Solution

The fourth proportional to 64.68, 89.33 and 53.66 is: 74.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.68 : 89.33 = 53.66 : x
  2. Step 2: Convert to fraction form
    64.68/89.33 = 53.66/x
  3. Step 3: Cross multiply
    64.68x = 89.33 × 53.66
  4. Step 4: Simplify right side
    64.68x = 4,793.45
  5. Step 5: Solve for x
    x = 4,793.45/64.68
  6. Step 6: Final answer
    x = 74.11

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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.