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Finding the Fourth Proportional to 66.28, 90.77 and 66.16

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Solution

The fourth proportional to 66.28, 90.77 and 66.16 is: 90.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.28 : 90.77 = 66.16 : x
  2. Step 2: Convert to fraction form
    66.28/90.77 = 66.16/x
  3. Step 3: Cross multiply
    66.28x = 90.77 × 66.16
  4. Step 4: Simplify right side
    66.28x = 6,005.34
  5. Step 5: Solve for x
    x = 6,005.34/66.28
  6. Step 6: Final answer
    x = 90.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.