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Finding the Fourth Proportional to 66.32, 98.92 and 56.16

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Solution

The fourth proportional to 66.32, 98.92 and 56.16 is: 83.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.32 : 98.92 = 56.16 : x
  2. Step 2: Convert to fraction form
    66.32/98.92 = 56.16/x
  3. Step 3: Cross multiply
    66.32x = 98.92 × 56.16
  4. Step 4: Simplify right side
    66.32x = 5,555.42
  5. Step 5: Solve for x
    x = 5,555.42/66.32
  6. Step 6: Final answer
    x = 83.77

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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.