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Finding the Fourth Proportional to 66.15, 90.86 and 55.65

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Solution

The fourth proportional to 66.15, 90.86 and 55.65 is: 76.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.15 : 90.86 = 55.65 : x
  2. Step 2: Convert to fraction form
    66.15/90.86 = 55.65/x
  3. Step 3: Cross multiply
    66.15x = 90.86 × 55.65
  4. Step 4: Simplify right side
    66.15x = 5,056.42
  5. Step 5: Solve for x
    x = 5,056.42/66.15
  6. Step 6: Final answer
    x = 76.44

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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.