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Finding the Fourth Proportional to 145.13, 217.76 and 81

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Solution

The fourth proportional to 145.13, 217.76 and 81 is: 121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 217.76 = 81 : x
  2. Step 2: Convert to fraction form
    145.13/217.76 = 81/x
  3. Step 3: Cross multiply
    145.13x = 217.76 × 81
  4. Step 4: Simplify right side
    145.13x = 17,638.16
  5. Step 5: Solve for x
    x = 17,638.16/145.13
  6. Step 6: Final answer
    x = 121.54

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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.