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Finding the Fourth Proportional to 66.29, 90.78 and 66.07

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Solution

The fourth proportional to 66.29, 90.78 and 66.07 is: 90.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.29 : 90.78 = 66.07 : x
  2. Step 2: Convert to fraction form
    66.29/90.78 = 66.07/x
  3. Step 3: Cross multiply
    66.29x = 90.78 × 66.07
  4. Step 4: Simplify right side
    66.29x = 5,997.65
  5. Step 5: Solve for x
    x = 5,997.65/66.29
  6. Step 6: Final answer
    x = 90.47

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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.