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Finding the Fourth Proportional to 145.63, 217.59 and 110.21

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Solution

The fourth proportional to 145.63, 217.59 and 110.21 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.63 : 217.59 = 110.21 : x
  2. Step 2: Convert to fraction form
    145.63/217.59 = 110.21/x
  3. Step 3: Cross multiply
    145.63x = 217.59 × 110.21
  4. Step 4: Simplify right side
    145.63x = 23,981.86
  5. Step 5: Solve for x
    x = 23,981.86/145.63
  6. Step 6: Final answer
    x = 164.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.