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Finding the Fourth Proportional to 98.95, 147.27 and 98.65

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Solution

The fourth proportional to 98.95, 147.27 and 98.65 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.95 : 147.27 = 98.65 : x
  2. Step 2: Convert to fraction form
    98.95/147.27 = 98.65/x
  3. Step 3: Cross multiply
    98.95x = 147.27 × 98.65
  4. Step 4: Simplify right side
    98.95x = 14,528.19
  5. Step 5: Solve for x
    x = 14,528.19/98.95
  6. Step 6: Final answer
    x = 146.82

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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.