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Finding the Fourth Proportional to 66.16, 98.97 and 56.53

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Solution

The fourth proportional to 66.16, 98.97 and 56.53 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.16 : 98.97 = 56.53 : x
  2. Step 2: Convert to fraction form
    66.16/98.97 = 56.53/x
  3. Step 3: Cross multiply
    66.16x = 98.97 × 56.53
  4. Step 4: Simplify right side
    66.16x = 5,594.77
  5. Step 5: Solve for x
    x = 5,594.77/66.16
  6. Step 6: Final answer
    x = 84.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.