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Finding the Fourth Proportional to 98.58, 136 and 59.76

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Solution

The fourth proportional to 98.58, 136 and 59.76 is: 82.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 136 = 59.76 : x
  2. Step 2: Convert to fraction form
    98.58/136 = 59.76/x
  3. Step 3: Cross multiply
    98.58x = 136 × 59.76
  4. Step 4: Simplify right side
    98.58x = 8,127.36
  5. Step 5: Solve for x
    x = 8,127.36/98.58
  6. Step 6: Final answer
    x = 82.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.