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Finding the Fourth Proportional to 60.48, 90.71 and 30.01

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Solution

The fourth proportional to 60.48, 90.71 and 30.01 is: 45.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.48 : 90.71 = 30.01 : x
  2. Step 2: Convert to fraction form
    60.48/90.71 = 30.01/x
  3. Step 3: Cross multiply
    60.48x = 90.71 × 30.01
  4. Step 4: Simplify right side
    60.48x = 2,722.21
  5. Step 5: Solve for x
    x = 2,722.21/60.48
  6. Step 6: Final answer
    x = 45.01

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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.