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Finding the Fourth Proportional to 98.60, 136 and 65.78

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Solution

The fourth proportional to 98.60, 136 and 65.78 is: 90.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.60 : 136 = 65.78 : x
  2. Step 2: Convert to fraction form
    98.60/136 = 65.78/x
  3. Step 3: Cross multiply
    98.60x = 136 × 65.78
  4. Step 4: Simplify right side
    98.60x = 8,946.08
  5. Step 5: Solve for x
    x = 8,946.08/98.60
  6. Step 6: Final answer
    x = 90.73

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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.