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Finding the Fourth Proportional to 94.15, 130 and 84.50

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Solution

The fourth proportional to 94.15, 130 and 84.50 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.15 : 130 = 84.50 : x
  2. Step 2: Convert to fraction form
    94.15/130 = 84.50/x
  3. Step 3: Cross multiply
    94.15x = 130 × 84.50
  4. Step 4: Simplify right side
    94.15x = 10,985
  5. Step 5: Solve for x
    x = 10,985/94.15
  6. Step 6: Final answer
    x = 116.68

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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.