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Finding the Fourth Proportional to 146.41, 219.68 and 59.77

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Solution

The fourth proportional to 146.41, 219.68 and 59.77 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.41 : 219.68 = 59.77 : x
  2. Step 2: Convert to fraction form
    146.41/219.68 = 59.77/x
  3. Step 3: Cross multiply
    146.41x = 219.68 × 59.77
  4. Step 4: Simplify right side
    146.41x = 13,130.47
  5. Step 5: Solve for x
    x = 13,130.47/146.41
  6. Step 6: Final answer
    x = 89.68

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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.