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Finding the Fourth Proportional to 78.68, 108.58 and 47.58

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Solution

The fourth proportional to 78.68, 108.58 and 47.58 is: 65.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 108.58 = 47.58 : x
  2. Step 2: Convert to fraction form
    78.68/108.58 = 47.58/x
  3. Step 3: Cross multiply
    78.68x = 108.58 × 47.58
  4. Step 4: Simplify right side
    78.68x = 5,166.12
  5. Step 5: Solve for x
    x = 5,166.12/78.68
  6. Step 6: Final answer
    x = 65.66

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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.