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Finding the Fourth Proportional to 83, 114.51 and 48.02

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Solution

The fourth proportional to 83, 114.51 and 48.02 is: 66.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 114.51 = 48.02 : x
  2. Step 2: Convert to fraction form
    83/114.51 = 48.02/x
  3. Step 3: Cross multiply
    83x = 114.51 × 48.02
  4. Step 4: Simplify right side
    83x = 5,498.77
  5. Step 5: Solve for x
    x = 5,498.77/83
  6. Step 6: Final answer
    x = 66.25

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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.