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Finding the Fourth Proportional to 117.48, 160.95 and 113.16

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Solution

The fourth proportional to 117.48, 160.95 and 113.16 is: 155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 160.95 = 113.16 : x
  2. Step 2: Convert to fraction form
    117.48/160.95 = 113.16/x
  3. Step 3: Cross multiply
    117.48x = 160.95 × 113.16
  4. Step 4: Simplify right side
    117.48x = 18,213.10
  5. Step 5: Solve for x
    x = 18,213.10/117.48
  6. Step 6: Final answer
    x = 155.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.