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Finding the Fourth Proportional to 98.61, 147.93 and 26.48

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Solution

The fourth proportional to 98.61, 147.93 and 26.48 is: 39.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 147.93 = 26.48 : x
  2. Step 2: Convert to fraction form
    98.61/147.93 = 26.48/x
  3. Step 3: Cross multiply
    98.61x = 147.93 × 26.48
  4. Step 4: Simplify right side
    98.61x = 3,916.31
  5. Step 5: Solve for x
    x = 3,916.31/98.61
  6. Step 6: Final answer
    x = 39.72

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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.