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Finding the Fourth Proportional to 66.68, 92.03 and 42.14

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Solution

The fourth proportional to 66.68, 92.03 and 42.14 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 92.03 = 42.14 : x
  2. Step 2: Convert to fraction form
    66.68/92.03 = 42.14/x
  3. Step 3: Cross multiply
    66.68x = 92.03 × 42.14
  4. Step 4: Simplify right side
    66.68x = 3,878.14
  5. Step 5: Solve for x
    x = 3,878.14/66.68
  6. Step 6: Final answer
    x = 58.16

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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.