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Finding the Fourth Proportional to 66.96, 92.45 and 45.14

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Solution

The fourth proportional to 66.96, 92.45 and 45.14 is: 62.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 92.45 = 45.14 : x
  2. Step 2: Convert to fraction form
    66.96/92.45 = 45.14/x
  3. Step 3: Cross multiply
    66.96x = 92.45 × 45.14
  4. Step 4: Simplify right side
    66.96x = 4,173.19
  5. Step 5: Solve for x
    x = 4,173.19/66.96
  6. Step 6: Final answer
    x = 62.32

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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.