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Finding the Fourth Proportional to 145.31, 218 and 42.59

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Solution

The fourth proportional to 145.31, 218 and 42.59 is: 63.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.31 : 218 = 42.59 : x
  2. Step 2: Convert to fraction form
    145.31/218 = 42.59/x
  3. Step 3: Cross multiply
    145.31x = 218 × 42.59
  4. Step 4: Simplify right side
    145.31x = 9,284.62
  5. Step 5: Solve for x
    x = 9,284.62/145.31
  6. Step 6: Final answer
    x = 63.90

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