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Finding the Fourth Proportional to 61.70, 85.14 and 34.06

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Solution

The fourth proportional to 61.70, 85.14 and 34.06 is: 47.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 85.14 = 34.06 : x
  2. Step 2: Convert to fraction form
    61.70/85.14 = 34.06/x
  3. Step 3: Cross multiply
    61.70x = 85.14 × 34.06
  4. Step 4: Simplify right side
    61.70x = 2,899.87
  5. Step 5: Solve for x
    x = 2,899.87/61.70
  6. Step 6: Final answer
    x = 47.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.