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Finding the Fourth Proportional to 156.13, 234.20 and 59.95

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Solution

The fourth proportional to 156.13, 234.20 and 59.95 is: 89.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 234.20 = 59.95 : x
  2. Step 2: Convert to fraction form
    156.13/234.20 = 59.95/x
  3. Step 3: Cross multiply
    156.13x = 234.20 × 59.95
  4. Step 4: Simplify right side
    156.13x = 14,040.29
  5. Step 5: Solve for x
    x = 14,040.29/156.13
  6. Step 6: Final answer
    x = 89.93

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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.