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Finding the Fourth Proportional to 85.43, 117.81 and 62.10

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Solution

The fourth proportional to 85.43, 117.81 and 62.10 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 117.81 = 62.10 : x
  2. Step 2: Convert to fraction form
    85.43/117.81 = 62.10/x
  3. Step 3: Cross multiply
    85.43x = 117.81 × 62.10
  4. Step 4: Simplify right side
    85.43x = 7,316.00
  5. Step 5: Solve for x
    x = 7,316.00/85.43
  6. Step 6: Final answer
    x = 85.64

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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.