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Finding the Fourth Proportional to 134.60, 201.90 and 37.10

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Solution

The fourth proportional to 134.60, 201.90 and 37.10 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 201.90 = 37.10 : x
  2. Step 2: Convert to fraction form
    134.60/201.90 = 37.10/x
  3. Step 3: Cross multiply
    134.60x = 201.90 × 37.10
  4. Step 4: Simplify right side
    134.60x = 7,490.49
  5. Step 5: Solve for x
    x = 7,490.49/134.60
  6. Step 6: Final answer
    x = 55.65

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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.