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Finding the Fourth Proportional to 74.58, 102.86 and 57.10

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Solution

The fourth proportional to 74.58, 102.86 and 57.10 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 102.86 = 57.10 : x
  2. Step 2: Convert to fraction form
    74.58/102.86 = 57.10/x
  3. Step 3: Cross multiply
    74.58x = 102.86 × 57.10
  4. Step 4: Simplify right side
    74.58x = 5,873.31
  5. Step 5: Solve for x
    x = 5,873.31/74.58
  6. Step 6: Final answer
    x = 78.75

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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.