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Finding the Fourth Proportional to 98.84, 147.98 and 90.28

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Solution

The fourth proportional to 98.84, 147.98 and 90.28 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 147.98 = 90.28 : x
  2. Step 2: Convert to fraction form
    98.84/147.98 = 90.28/x
  3. Step 3: Cross multiply
    98.84x = 147.98 × 90.28
  4. Step 4: Simplify right side
    98.84x = 13,359.63
  5. Step 5: Solve for x
    x = 13,359.63/98.84
  6. Step 6: Final answer
    x = 135.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.