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Finding the Fourth Proportional to 79.07, 118.53 and 31.01

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Solution

The fourth proportional to 79.07, 118.53 and 31.01 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.07 : 118.53 = 31.01 : x
  2. Step 2: Convert to fraction form
    79.07/118.53 = 31.01/x
  3. Step 3: Cross multiply
    79.07x = 118.53 × 31.01
  4. Step 4: Simplify right side
    79.07x = 3,675.02
  5. Step 5: Solve for x
    x = 3,675.02/79.07
  6. Step 6: Final answer
    x = 46.48

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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.