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Finding the Fourth Proportional to 60.36, 90.57 and 52.38

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Solution

The fourth proportional to 60.36, 90.57 and 52.38 is: 78.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.36 : 90.57 = 52.38 : x
  2. Step 2: Convert to fraction form
    60.36/90.57 = 52.38/x
  3. Step 3: Cross multiply
    60.36x = 90.57 × 52.38
  4. Step 4: Simplify right side
    60.36x = 4,744.06
  5. Step 5: Solve for x
    x = 4,744.06/60.36
  6. Step 6: Final answer
    x = 78.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.