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Finding the Fourth Proportional to 60.48, 90.62 and 30.00

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Solution

The fourth proportional to 60.48, 90.62 and 30.00 is: 44.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.48 : 90.62 = 30.00 : x
  2. Step 2: Convert to fraction form
    60.48/90.62 = 30.00/x
  3. Step 3: Cross multiply
    60.48x = 90.62 × 30.00
  4. Step 4: Simplify right side
    60.48x = 2,718.90
  5. Step 5: Solve for x
    x = 2,718.90/60.48
  6. Step 6: Final answer
    x = 44.96

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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.