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Finding the Fourth Proportional to 37.65, 56.47 and 10.60

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Solution

The fourth proportional to 37.65, 56.47 and 10.60 is: 15.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.65 : 56.47 = 10.60 : x
  2. Step 2: Convert to fraction form
    37.65/56.47 = 10.60/x
  3. Step 3: Cross multiply
    37.65x = 56.47 × 10.60
  4. Step 4: Simplify right side
    37.65x = 598.25
  5. Step 5: Solve for x
    x = 598.25/37.65
  6. Step 6: Final answer
    x = 15.89

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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.