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Finding the Fourth Proportional to 60.30, 83.16 and 53.75

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Solution

The fourth proportional to 60.30, 83.16 and 53.75 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.30 : 83.16 = 53.75 : x
  2. Step 2: Convert to fraction form
    60.30/83.16 = 53.75/x
  3. Step 3: Cross multiply
    60.30x = 83.16 × 53.75
  4. Step 4: Simplify right side
    60.30x = 4,470.06
  5. Step 5: Solve for x
    x = 4,470.06/60.30
  6. Step 6: Final answer
    x = 74.13

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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.