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Finding the Fourth Proportional to 142.17, 212.91 and 73.47

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Solution

The fourth proportional to 142.17, 212.91 and 73.47 is: 110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.17 : 212.91 = 73.47 : x
  2. Step 2: Convert to fraction form
    142.17/212.91 = 73.47/x
  3. Step 3: Cross multiply
    142.17x = 212.91 × 73.47
  4. Step 4: Simplify right side
    142.17x = 15,642.50
  5. Step 5: Solve for x
    x = 15,642.50/142.17
  6. Step 6: Final answer
    x = 110.03

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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.