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Finding the Fourth Proportional to 113.57, 156.93 and 89.19

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Solution

The fourth proportional to 113.57, 156.93 and 89.19 is: 123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.57 : 156.93 = 89.19 : x
  2. Step 2: Convert to fraction form
    113.57/156.93 = 89.19/x
  3. Step 3: Cross multiply
    113.57x = 156.93 × 89.19
  4. Step 4: Simplify right side
    113.57x = 13,996.14
  5. Step 5: Solve for x
    x = 13,996.14/113.57
  6. Step 6: Final answer
    x = 123.24

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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.