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Finding the Fourth Proportional to 78.75, 108.68 and 46.01

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Solution

The fourth proportional to 78.75, 108.68 and 46.01 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.75 : 108.68 = 46.01 : x
  2. Step 2: Convert to fraction form
    78.75/108.68 = 46.01/x
  3. Step 3: Cross multiply
    78.75x = 108.68 × 46.01
  4. Step 4: Simplify right side
    78.75x = 4,999.59
  5. Step 5: Solve for x
    x = 4,999.59/78.75
  6. Step 6: Final answer
    x = 63.49

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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.