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Finding the Fourth Proportional to 60.16, 83.00 and 38.03

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Solution

The fourth proportional to 60.16, 83.00 and 38.03 is: 52.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.16 : 83.00 = 38.03 : x
  2. Step 2: Convert to fraction form
    60.16/83.00 = 38.03/x
  3. Step 3: Cross multiply
    60.16x = 83.00 × 38.03
  4. Step 4: Simplify right side
    60.16x = 3,156.51
  5. Step 5: Solve for x
    x = 3,156.51/60.16
  6. Step 6: Final answer
    x = 52.47

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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.