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Finding the Fourth Proportional to 128.77, 193.18 and 37.46

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Solution

The fourth proportional to 128.77, 193.18 and 37.46 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.77 : 193.18 = 37.46 : x
  2. Step 2: Convert to fraction form
    128.77/193.18 = 37.46/x
  3. Step 3: Cross multiply
    128.77x = 193.18 × 37.46
  4. Step 4: Simplify right side
    128.77x = 7,236.52
  5. Step 5: Solve for x
    x = 7,236.52/128.77
  6. Step 6: Final answer
    x = 56.20

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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.