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Finding the Fourth Proportional to 58.16, 80.25 and 37.45

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Solution

The fourth proportional to 58.16, 80.25 and 37.45 is: 51.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 80.25 = 37.45 : x
  2. Step 2: Convert to fraction form
    58.16/80.25 = 37.45/x
  3. Step 3: Cross multiply
    58.16x = 80.25 × 37.45
  4. Step 4: Simplify right side
    58.16x = 3,005.36
  5. Step 5: Solve for x
    x = 3,005.36/58.16
  6. Step 6: Final answer
    x = 51.67

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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.