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Finding the Fourth Proportional to 96.61, 145.54 and 88.54

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Solution

The fourth proportional to 96.61, 145.54 and 88.54 is: 133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.61 : 145.54 = 88.54 : x
  2. Step 2: Convert to fraction form
    96.61/145.54 = 88.54/x
  3. Step 3: Cross multiply
    96.61x = 145.54 × 88.54
  4. Step 4: Simplify right side
    96.61x = 12,886.11
  5. Step 5: Solve for x
    x = 12,886.11/96.61
  6. Step 6: Final answer
    x = 133.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.