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Finding the Fourth Proportional to 66.51, 91.67 and 54.16

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Solution

The fourth proportional to 66.51, 91.67 and 54.16 is: 74.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.51 : 91.67 = 54.16 : x
  2. Step 2: Convert to fraction form
    66.51/91.67 = 54.16/x
  3. Step 3: Cross multiply
    66.51x = 91.67 × 54.16
  4. Step 4: Simplify right side
    66.51x = 4,964.35
  5. Step 5: Solve for x
    x = 4,964.35/66.51
  6. Step 6: Final answer
    x = 74.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.