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Finding the Fourth Proportional to 59.76, 89.24 and 48.23

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Solution

The fourth proportional to 59.76, 89.24 and 48.23 is: 72.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 89.24 = 48.23 : x
  2. Step 2: Convert to fraction form
    59.76/89.24 = 48.23/x
  3. Step 3: Cross multiply
    59.76x = 89.24 × 48.23
  4. Step 4: Simplify right side
    59.76x = 4,303.69
  5. Step 5: Solve for x
    x = 4,303.69/59.76
  6. Step 6: Final answer
    x = 72.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.