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Finding the Fourth Proportional to 75.77, 104.59 and 46.66

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Solution

The fourth proportional to 75.77, 104.59 and 46.66 is: 64.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 104.59 = 46.66 : x
  2. Step 2: Convert to fraction form
    75.77/104.59 = 46.66/x
  3. Step 3: Cross multiply
    75.77x = 104.59 × 46.66
  4. Step 4: Simplify right side
    75.77x = 4,880.17
  5. Step 5: Solve for x
    x = 4,880.17/75.77
  6. Step 6: Final answer
    x = 64.41

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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.