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Finding the Fourth Proportional to 147.61, 221.48 and 56.35

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Solution

The fourth proportional to 147.61, 221.48 and 56.35 is: 84.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.61 : 221.48 = 56.35 : x
  2. Step 2: Convert to fraction form
    147.61/221.48 = 56.35/x
  3. Step 3: Cross multiply
    147.61x = 221.48 × 56.35
  4. Step 4: Simplify right side
    147.61x = 12,480.40
  5. Step 5: Solve for x
    x = 12,480.40/147.61
  6. Step 6: Final answer
    x = 84.55

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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.