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Finding the Fourth Proportional to 59.28, 88.50 and 53.46

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Solution

The fourth proportional to 59.28, 88.50 and 53.46 is: 79.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.28 : 88.50 = 53.46 : x
  2. Step 2: Convert to fraction form
    59.28/88.50 = 53.46/x
  3. Step 3: Cross multiply
    59.28x = 88.50 × 53.46
  4. Step 4: Simplify right side
    59.28x = 4,731.21
  5. Step 5: Solve for x
    x = 4,731.21/59.28
  6. Step 6: Final answer
    x = 79.81

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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.