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Finding the Fourth Proportional to 143.51, 214.71 and 97.64

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Solution

The fourth proportional to 143.51, 214.71 and 97.64 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.51 : 214.71 = 97.64 : x
  2. Step 2: Convert to fraction form
    143.51/214.71 = 97.64/x
  3. Step 3: Cross multiply
    143.51x = 214.71 × 97.64
  4. Step 4: Simplify right side
    143.51x = 20,963.21
  5. Step 5: Solve for x
    x = 20,963.21/143.51
  6. Step 6: Final answer
    x = 146.08

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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.