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Finding the Fourth Proportional to 145.13, 217.55 and 68.05

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Solution

The fourth proportional to 145.13, 217.55 and 68.05 is: 102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 217.55 = 68.05 : x
  2. Step 2: Convert to fraction form
    145.13/217.55 = 68.05/x
  3. Step 3: Cross multiply
    145.13x = 217.55 × 68.05
  4. Step 4: Simplify right side
    145.13x = 14,804.28
  5. Step 5: Solve for x
    x = 14,804.28/145.13
  6. Step 6: Final answer
    x = 102.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.