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Finding the Fourth Proportional to 66.47, 99.61 and 37.56

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Solution

The fourth proportional to 66.47, 99.61 and 37.56 is: 56.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.47 : 99.61 = 37.56 : x
  2. Step 2: Convert to fraction form
    66.47/99.61 = 37.56/x
  3. Step 3: Cross multiply
    66.47x = 99.61 × 37.56
  4. Step 4: Simplify right side
    66.47x = 3,741.77
  5. Step 5: Solve for x
    x = 3,741.77/66.47
  6. Step 6: Final answer
    x = 56.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.