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Finding the Fourth Proportional to 58.64, 87.85 and 26.08

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Solution

The fourth proportional to 58.64, 87.85 and 26.08 is: 39.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.64 : 87.85 = 26.08 : x
  2. Step 2: Convert to fraction form
    58.64/87.85 = 26.08/x
  3. Step 3: Cross multiply
    58.64x = 87.85 × 26.08
  4. Step 4: Simplify right side
    58.64x = 2,291.27
  5. Step 5: Solve for x
    x = 2,291.27/58.64
  6. Step 6: Final answer
    x = 39.08

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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.