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Finding the Fourth Proportional to 145.44, 218.12 and 42.72

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Solution

The fourth proportional to 145.44, 218.12 and 42.72 is: 64.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 218.12 = 42.72 : x
  2. Step 2: Convert to fraction form
    145.44/218.12 = 42.72/x
  3. Step 3: Cross multiply
    145.44x = 218.12 × 42.72
  4. Step 4: Simplify right side
    145.44x = 9,317.05
  5. Step 5: Solve for x
    x = 9,317.05/145.44
  6. Step 6: Final answer
    x = 64.06

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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.