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Finding the Fourth Proportional to 94.20, 130 and 57.35

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Solution

The fourth proportional to 94.20, 130 and 57.35 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.20 : 130 = 57.35 : x
  2. Step 2: Convert to fraction form
    94.20/130 = 57.35/x
  3. Step 3: Cross multiply
    94.20x = 130 × 57.35
  4. Step 4: Simplify right side
    94.20x = 7,455.50
  5. Step 5: Solve for x
    x = 7,455.50/94.20
  6. Step 6: Final answer
    x = 79.15

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