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Finding the Fourth Proportional to 59.06, 88.65 and 55.76

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Solution

The fourth proportional to 59.06, 88.65 and 55.76 is: 83.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 88.65 = 55.76 : x
  2. Step 2: Convert to fraction form
    59.06/88.65 = 55.76/x
  3. Step 3: Cross multiply
    59.06x = 88.65 × 55.76
  4. Step 4: Simplify right side
    59.06x = 4,943.12
  5. Step 5: Solve for x
    x = 4,943.12/59.06
  6. Step 6: Final answer
    x = 83.70

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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.