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Finding the Fourth Proportional to 113.50, 156.74 and 89.07

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Solution

The fourth proportional to 113.50, 156.74 and 89.07 is: 122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 156.74 = 89.07 : x
  2. Step 2: Convert to fraction form
    113.50/156.74 = 89.07/x
  3. Step 3: Cross multiply
    113.50x = 156.74 × 89.07
  4. Step 4: Simplify right side
    113.50x = 13,959.80
  5. Step 5: Solve for x
    x = 13,959.80/113.50
  6. Step 6: Final answer
    x = 122.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.