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Finding the Fourth Proportional to 176.59, 243.72 and 111.07

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Solution

The fourth proportional to 176.59, 243.72 and 111.07 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.59 : 243.72 = 111.07 : x
  2. Step 2: Convert to fraction form
    176.59/243.72 = 111.07/x
  3. Step 3: Cross multiply
    176.59x = 243.72 × 111.07
  4. Step 4: Simplify right side
    176.59x = 27,068.21
  5. Step 5: Solve for x
    x = 27,068.21/176.59
  6. Step 6: Final answer
    x = 153.29

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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.