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Finding the Fourth Proportional to 42.35, 58.18 and 37.14

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Solution

The fourth proportional to 42.35, 58.18 and 37.14 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.35 : 58.18 = 37.14 : x
  2. Step 2: Convert to fraction form
    42.35/58.18 = 37.14/x
  3. Step 3: Cross multiply
    42.35x = 58.18 × 37.14
  4. Step 4: Simplify right side
    42.35x = 2,160.81
  5. Step 5: Solve for x
    x = 2,160.81/42.35
  6. Step 6: Final answer
    x = 51.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.