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Finding the Fourth Proportional to 134.74, 202.07 and 56.66

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Solution

The fourth proportional to 134.74, 202.07 and 56.66 is: 84.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.74 : 202.07 = 56.66 : x
  2. Step 2: Convert to fraction form
    134.74/202.07 = 56.66/x
  3. Step 3: Cross multiply
    134.74x = 202.07 × 56.66
  4. Step 4: Simplify right side
    134.74x = 11,449.93
  5. Step 5: Solve for x
    x = 11,449.93/134.74
  6. Step 6: Final answer
    x = 84.98

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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.