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Finding the Fourth Proportional to 98.71, 147.53 and 75.64

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Solution

The fourth proportional to 98.71, 147.53 and 75.64 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.71 : 147.53 = 75.64 : x
  2. Step 2: Convert to fraction form
    98.71/147.53 = 75.64/x
  3. Step 3: Cross multiply
    98.71x = 147.53 × 75.64
  4. Step 4: Simplify right side
    98.71x = 11,158.99
  5. Step 5: Solve for x
    x = 11,158.99/98.71
  6. Step 6: Final answer
    x = 113.05

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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.