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Finding the Fourth Proportional to 102.76, 152.93 and 98.92

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Solution

The fourth proportional to 102.76, 152.93 and 98.92 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.76 : 152.93 = 98.92 : x
  2. Step 2: Convert to fraction form
    102.76/152.93 = 98.92/x
  3. Step 3: Cross multiply
    102.76x = 152.93 × 98.92
  4. Step 4: Simplify right side
    102.76x = 15,127.84
  5. Step 5: Solve for x
    x = 15,127.84/102.76
  6. Step 6: Final answer
    x = 147.22

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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.