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Finding the Fourth Proportional to 75.61, 104.33 and 48.02

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Solution

The fourth proportional to 75.61, 104.33 and 48.02 is: 66.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.61 : 104.33 = 48.02 : x
  2. Step 2: Convert to fraction form
    75.61/104.33 = 48.02/x
  3. Step 3: Cross multiply
    75.61x = 104.33 × 48.02
  4. Step 4: Simplify right side
    75.61x = 5,009.16
  5. Step 5: Solve for x
    x = 5,009.16/75.61
  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.