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Finding the Fourth Proportional to 143.21, 214.50 and 88.23

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Solution

The fourth proportional to 143.21, 214.50 and 88.23 is: 132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.21 : 214.50 = 88.23 : x
  2. Step 2: Convert to fraction form
    143.21/214.50 = 88.23/x
  3. Step 3: Cross multiply
    143.21x = 214.50 × 88.23
  4. Step 4: Simplify right side
    143.21x = 18,925.34
  5. Step 5: Solve for x
    x = 18,925.34/143.21
  6. Step 6: Final answer
    x = 132.16

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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.