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Finding the Fourth Proportional to 66.26, 98.91 and 58.16

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Solution

The fourth proportional to 66.26, 98.91 and 58.16 is: 86.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.26 : 98.91 = 58.16 : x
  2. Step 2: Convert to fraction form
    66.26/98.91 = 58.16/x
  3. Step 3: Cross multiply
    66.26x = 98.91 × 58.16
  4. Step 4: Simplify right side
    66.26x = 5,751.82
  5. Step 5: Solve for x
    x = 5,751.82/66.26
  6. Step 6: Final answer
    x = 86.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.