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Finding the Fourth Proportional to 145.08, 217.64 and 72.08

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Solution

The fourth proportional to 145.08, 217.64 and 72.08 is: 108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 217.64 = 72.08 : x
  2. Step 2: Convert to fraction form
    145.08/217.64 = 72.08/x
  3. Step 3: Cross multiply
    145.08x = 217.64 × 72.08
  4. Step 4: Simplify right side
    145.08x = 15,687.49
  5. Step 5: Solve for x
    x = 15,687.49/145.08
  6. Step 6: Final answer
    x = 108.13

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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.