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Finding the Fourth Proportional to 117.10, 174.72 and 99.79

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Solution

The fourth proportional to 117.10, 174.72 and 99.79 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 174.72 = 99.79 : x
  2. Step 2: Convert to fraction form
    117.10/174.72 = 99.79/x
  3. Step 3: Cross multiply
    117.10x = 174.72 × 99.79
  4. Step 4: Simplify right side
    117.10x = 17,434.68
  5. Step 5: Solve for x
    x = 17,434.68/117.10
  6. Step 6: Final answer
    x = 148.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.