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Finding the Fourth Proportional to 66.23, 98.86 and 58.13

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Solution

The fourth proportional to 66.23, 98.86 and 58.13 is: 86.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 98.86 = 58.13 : x
  2. Step 2: Convert to fraction form
    66.23/98.86 = 58.13/x
  3. Step 3: Cross multiply
    66.23x = 98.86 × 58.13
  4. Step 4: Simplify right side
    66.23x = 5,746.09
  5. Step 5: Solve for x
    x = 5,746.09/66.23
  6. Step 6: Final answer
    x = 86.77

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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.