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Finding the Fourth Proportional to 94.50, 130.43 and 57.16

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Solution

The fourth proportional to 94.50, 130.43 and 57.16 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 130.43 = 57.16 : x
  2. Step 2: Convert to fraction form
    94.50/130.43 = 57.16/x
  3. Step 3: Cross multiply
    94.50x = 130.43 × 57.16
  4. Step 4: Simplify right side
    94.50x = 7,455.38
  5. Step 5: Solve for x
    x = 7,455.38/94.50
  6. Step 6: Final answer
    x = 78.89

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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.