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Finding the Fourth Proportional to 142.10, 212.97 and 65.06

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Solution

The fourth proportional to 142.10, 212.97 and 65.06 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 212.97 = 65.06 : x
  2. Step 2: Convert to fraction form
    142.10/212.97 = 65.06/x
  3. Step 3: Cross multiply
    142.10x = 212.97 × 65.06
  4. Step 4: Simplify right side
    142.10x = 13,855.83
  5. Step 5: Solve for x
    x = 13,855.83/142.10
  6. Step 6: Final answer
    x = 97.51

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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.