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Finding the Fourth Proportional to 60.51, 90.77 and 30.06

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Solution

The fourth proportional to 60.51, 90.77 and 30.06 is: 45.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.51 : 90.77 = 30.06 : x
  2. Step 2: Convert to fraction form
    60.51/90.77 = 30.06/x
  3. Step 3: Cross multiply
    60.51x = 90.77 × 30.06
  4. Step 4: Simplify right side
    60.51x = 2,728.55
  5. Step 5: Solve for x
    x = 2,728.55/60.51
  6. Step 6: Final answer
    x = 45.09

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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.