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Finding the Fourth Proportional to 170.93, 256.13 and 110.01

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Solution

The fourth proportional to 170.93, 256.13 and 110.01 is: 164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.93 : 256.13 = 110.01 : x
  2. Step 2: Convert to fraction form
    170.93/256.13 = 110.01/x
  3. Step 3: Cross multiply
    170.93x = 256.13 × 110.01
  4. Step 4: Simplify right side
    170.93x = 28,176.86
  5. Step 5: Solve for x
    x = 28,176.86/170.93
  6. Step 6: Final answer
    x = 164.84

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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.