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Finding the Fourth Proportional to 38.60, 53.40 and 37.10

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Solution

The fourth proportional to 38.60, 53.40 and 37.10 is: 51.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 53.40 = 37.10 : x
  2. Step 2: Convert to fraction form
    38.60/53.40 = 37.10/x
  3. Step 3: Cross multiply
    38.60x = 53.40 × 37.10
  4. Step 4: Simplify right side
    38.60x = 1,981.14
  5. Step 5: Solve for x
    x = 1,981.14/38.60
  6. Step 6: Final answer
    x = 51.32

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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.