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Finding the Fourth Proportional to 145.46, 218.04 and 54.04

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Solution

The fourth proportional to 145.46, 218.04 and 54.04 is: 81.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 218.04 = 54.04 : x
  2. Step 2: Convert to fraction form
    145.46/218.04 = 54.04/x
  3. Step 3: Cross multiply
    145.46x = 218.04 × 54.04
  4. Step 4: Simplify right side
    145.46x = 11,782.88
  5. Step 5: Solve for x
    x = 11,782.88/145.46
  6. Step 6: Final answer
    x = 81.00

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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.