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Finding the Fourth Proportional to 112.93, 156.64 and 109.04

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Solution

The fourth proportional to 112.93, 156.64 and 109.04 is: 151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.93 : 156.64 = 109.04 : x
  2. Step 2: Convert to fraction form
    112.93/156.64 = 109.04/x
  3. Step 3: Cross multiply
    112.93x = 156.64 × 109.04
  4. Step 4: Simplify right side
    112.93x = 17,079.48
  5. Step 5: Solve for x
    x = 17,079.48/112.93
  6. Step 6: Final answer
    x = 151.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.