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Finding the Fourth Proportional to 145.32, 218.96 and 120.21

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Solution

The fourth proportional to 145.32, 218.96 and 120.21 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 218.96 = 120.21 : x
  2. Step 2: Convert to fraction form
    145.32/218.96 = 120.21/x
  3. Step 3: Cross multiply
    145.32x = 218.96 × 120.21
  4. Step 4: Simplify right side
    145.32x = 26,320.09
  5. Step 5: Solve for x
    x = 26,320.09/145.32
  6. Step 6: Final answer
    x = 181.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.