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Finding the Fourth Proportional to 66.61, 91.88 and 42.01

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Solution

The fourth proportional to 66.61, 91.88 and 42.01 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.61 : 91.88 = 42.01 : x
  2. Step 2: Convert to fraction form
    66.61/91.88 = 42.01/x
  3. Step 3: Cross multiply
    66.61x = 91.88 × 42.01
  4. Step 4: Simplify right side
    66.61x = 3,859.42
  5. Step 5: Solve for x
    x = 3,859.42/66.61
  6. Step 6: Final answer
    x = 57.94

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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.