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Finding the Fourth Proportional to 76.18, 105.06 and 51.60

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Solution

The fourth proportional to 76.18, 105.06 and 51.60 is: 71.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.18 : 105.06 = 51.60 : x
  2. Step 2: Convert to fraction form
    76.18/105.06 = 51.60/x
  3. Step 3: Cross multiply
    76.18x = 105.06 × 51.60
  4. Step 4: Simplify right side
    76.18x = 5,421.10
  5. Step 5: Solve for x
    x = 5,421.10/76.18
  6. Step 6: Final answer
    x = 71.16

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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.