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Finding the Fourth Proportional to 152.35, 228.56 and 61.05

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Solution

The fourth proportional to 152.35, 228.56 and 61.05 is: 91.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 228.56 = 61.05 : x
  2. Step 2: Convert to fraction form
    152.35/228.56 = 61.05/x
  3. Step 3: Cross multiply
    152.35x = 228.56 × 61.05
  4. Step 4: Simplify right side
    152.35x = 13,953.59
  5. Step 5: Solve for x
    x = 13,953.59/152.35
  6. Step 6: Final answer
    x = 91.59

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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.