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Finding the Fourth Proportional to 113.69, 156.93 and 89.13

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Solution

The fourth proportional to 113.69, 156.93 and 89.13 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 156.93 = 89.13 : x
  2. Step 2: Convert to fraction form
    113.69/156.93 = 89.13/x
  3. Step 3: Cross multiply
    113.69x = 156.93 × 89.13
  4. Step 4: Simplify right side
    113.69x = 13,987.17
  5. Step 5: Solve for x
    x = 13,987.17/113.69
  6. Step 6: Final answer
    x = 123.03

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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.