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Finding the Fourth Proportional to 98.78, 147.65 and 96.35

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Solution

The fourth proportional to 98.78, 147.65 and 96.35 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 147.65 = 96.35 : x
  2. Step 2: Convert to fraction form
    98.78/147.65 = 96.35/x
  3. Step 3: Cross multiply
    98.78x = 147.65 × 96.35
  4. Step 4: Simplify right side
    98.78x = 14,225.40
  5. Step 5: Solve for x
    x = 14,225.40/98.78
  6. Step 6: Final answer
    x = 144.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.