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Finding the Fourth Proportional to 66.16, 98.76 and 65.80

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Solution

The fourth proportional to 66.16, 98.76 and 65.80 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.16 : 98.76 = 65.80 : x
  2. Step 2: Convert to fraction form
    66.16/98.76 = 65.80/x
  3. Step 3: Cross multiply
    66.16x = 98.76 × 65.80
  4. Step 4: Simplify right side
    66.16x = 6,498.41
  5. Step 5: Solve for x
    x = 6,498.41/66.16
  6. Step 6: Final answer
    x = 98.22

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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.