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Finding the Fourth Proportional to 52.16, 78.14 and 25.10

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Solution

The fourth proportional to 52.16, 78.14 and 25.10 is: 37.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.14 = 25.10 : x
  2. Step 2: Convert to fraction form
    52.16/78.14 = 25.10/x
  3. Step 3: Cross multiply
    52.16x = 78.14 × 25.10
  4. Step 4: Simplify right side
    52.16x = 1,961.31
  5. Step 5: Solve for x
    x = 1,961.31/52.16
  6. Step 6: Final answer
    x = 37.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.