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Finding the Fourth Proportional to 59.36, 88.97 and 37.70

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Solution

The fourth proportional to 59.36, 88.97 and 37.70 is: 56.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.36 : 88.97 = 37.70 : x
  2. Step 2: Convert to fraction form
    59.36/88.97 = 37.70/x
  3. Step 3: Cross multiply
    59.36x = 88.97 × 37.70
  4. Step 4: Simplify right side
    59.36x = 3,354.17
  5. Step 5: Solve for x
    x = 3,354.17/59.36
  6. Step 6: Final answer
    x = 56.51

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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.