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Finding the Fourth Proportional to 37.58, 51.80 and 23.00

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Solution

The fourth proportional to 37.58, 51.80 and 23.00 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.58 : 51.80 = 23.00 : x
  2. Step 2: Convert to fraction form
    37.58/51.80 = 23.00/x
  3. Step 3: Cross multiply
    37.58x = 51.80 × 23.00
  4. Step 4: Simplify right side
    37.58x = 1,191.03
  5. Step 5: Solve for x
    x = 1,191.03/37.58
  6. Step 6: Final answer
    x = 31.70

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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.