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Finding the Fourth Proportional to 97.01, 145.45 and 47.58

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Solution

The fourth proportional to 97.01, 145.45 and 47.58 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.01 : 145.45 = 47.58 : x
  2. Step 2: Convert to fraction form
    97.01/145.45 = 47.58/x
  3. Step 3: Cross multiply
    97.01x = 145.45 × 47.58
  4. Step 4: Simplify right side
    97.01x = 6,920.17
  5. Step 5: Solve for x
    x = 6,920.17/97.01
  6. Step 6: Final answer
    x = 71.33

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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.